Home › NY Regents Algebra I › Mathematics › Solving Linear Equations and Inequalities › Solve: -4(a - 3) - 7 = 25.
Solve: -4(a - 3) - 7 = 25.
Aa=5
Ba=-8
Ca=8
Da=-5
Answer & Solution
Correct answer: D. a=-5
1. Distribute on the left: -4(a - 3) becomes -4a + 12.
2. Combine like terms: -4a + 12 - 7 simplifies to -4a + 5.
3. The equation is now -4a + 5 = 25, so -4a = 20 after subtracting 5 from both sides.
4. Divide both sides by -4 to get a = -5, and checking confirms -4(-5 - 3) - 7 equals 32 - 7 equals 25.
_Source: OpenStax Elementary Algebra (CC BY 4.0), Ch 2 "Solving Linear Equations and Inequalities", section 2.2 Solve Equations using the Division and Multiplication Properties of Equality_
Related questions
Solve for x: 7 = (1/2)x + (3/4)x - (2/3)x.Classify the equation 12c + 5(5 + 3c) = 3(9c - 4) and state its solution.Solve for x: 2.8x + 12 = -1.4x - 9.Solve for q: 8q - 5 = -4q + 7.Solve for x: 3x + 4 = -8.A gardener planted 14 flats of flowers, filling 2/3 of a garden. How many flats would fillThe annual property tax on a house is $1,800, calculated as 15/1000 of the assessed value.Solve for r: 0.04r = 52.60.