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Simplifying -8 = -5[2 + -3q] + -7 -8 = [2 * -5 + -3q * -5] + -7 -8 = [-10 + 15q] + -7 Reorder the terms: -8 = -10 + -7 + 15q Combine like terms: -10 + -7 = -17 -8 = -17 + 15q Solving -8 = -17 + 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. -8 + -15q = -17 + 15q + -15q Combine like terms: 15q + -15q = 0 -8 + -15q = -17 + 0 -8 + -15q = -17 Add '8' to each side of the equation. -8 + 8 + -15q = -17 + 8 Combine like terms: -8 + 8 = 0 0 + -15q = -17 + 8 -15q = -17 + 8 Combine like terms: -17 + 8 = -9 -15q = -9 Divide each side by '-15'. q = 0.6 Simplifying q = 0.6
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