4
QuizMultiple Choice

Solving Linear Equations: Variables on Both Sides

Question 4 • AZ-Algebra 1A (MA101)

What is the solution to the linear equation?d – 10 – 2d + 7 = 8 + d – 10 – 3d

Answer
A
d = –5
B
d = –1
C
d = 1
D
d = 5

Explanation

Combine like terms on each side: d − 10 − 2d + 7 simplifies to −d − 3, and 8 + d − 10 − 3d simplifies to −2 − 2d. Then solve −d − 3 = −2 − 2d by adding 2d to both sides, giving d − 3 = −2. Adding 3 gives d = 1, so the correct choice is C, d = 1.

AI-written and checked against the verified answer.

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