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Simplifying -3(-5q + 16) = 3(-15 + 6q) Reorder the terms: -3(16 + -5q) = 3(-15 + 6q) (16 * -3 + -5q * -3) = 3(-15 + 6q) (-48 + 15q) = 3(-15 + 6q) -48 + 15q = (-15 * 3 + 6q * 3) -48 + 15q = (-45 + 18q) Solving -48 + 15q = -45 + 18q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-18q' to each side of the equation. -48 + 15q + -18q = -45 + 18q + -18q Combine like terms: 15q + -18q = -3q -48 + -3q = -45 + 18q + -18q Combine like terms: 18q + -18q = 0 -48 + -3q = -45 + 0 -48 + -3q = -45 Add '48' to each side of the equation. -48 + 48 + -3q = -45 + 48 Combine like terms: -48 + 48 = 0 0 + -3q = -45 + 48 -3q = -45 + 48 Combine like terms: -45 + 48 = 3 -3q = 3 Divide each side by '-3'. q = -1 Simplifying q = -1
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