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Simplifying -7(3 + q) = 4(2q + 6) (3 * -7 + q * -7) = 4(2q + 6) (-21 + -7q) = 4(2q + 6) Reorder the terms: -21 + -7q = 4(6 + 2q) -21 + -7q = (6 * 4 + 2q * 4) -21 + -7q = (24 + 8q) Solving -21 + -7q = 24 + 8q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-8q' to each side of the equation. -21 + -7q + -8q = 24 + 8q + -8q Combine like terms: -7q + -8q = -15q -21 + -15q = 24 + 8q + -8q Combine like terms: 8q + -8q = 0 -21 + -15q = 24 + 0 -21 + -15q = 24 Add '21' to each side of the equation. -21 + 21 + -15q = 24 + 21 Combine like terms: -21 + 21 = 0 0 + -15q = 24 + 21 -15q = 24 + 21 Combine like terms: 24 + 21 = 45 -15q = 45 Divide each side by '-15'. q = -3 Simplifying q = -3
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