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Simplifying 3(2q + -7) = 15q + -3 Reorder the terms: 3(-7 + 2q) = 15q + -3 (-7 * 3 + 2q * 3) = 15q + -3 (-21 + 6q) = 15q + -3 Reorder the terms: -21 + 6q = -3 + 15q Solving -21 + 6q = -3 + 15q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-15q' to each side of the equation. -21 + 6q + -15q = -3 + 15q + -15q Combine like terms: 6q + -15q = -9q -21 + -9q = -3 + 15q + -15q Combine like terms: 15q + -15q = 0 -21 + -9q = -3 + 0 -21 + -9q = -3 Add '21' to each side of the equation. -21 + 21 + -9q = -3 + 21 Combine like terms: -21 + 21 = 0 0 + -9q = -3 + 21 -9q = -3 + 21 Combine like terms: -3 + 21 = 18 -9q = 18 Divide each side by '-9'. q = -2 Simplifying q = -2
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