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Simplifying -7 = 3(q + -5) + -1q Reorder the terms: -7 = 3(-5 + q) + -1q -7 = (-5 * 3 + q * 3) + -1q -7 = (-15 + 3q) + -1q Combine like terms: 3q + -1q = 2q -7 = -15 + 2q Solving -7 = -15 + 2q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-2q' to each side of the equation. -7 + -2q = -15 + 2q + -2q Combine like terms: 2q + -2q = 0 -7 + -2q = -15 + 0 -7 + -2q = -15 Add '7' to each side of the equation. -7 + 7 + -2q = -15 + 7 Combine like terms: -7 + 7 = 0 0 + -2q = -15 + 7 -2q = -15 + 7 Combine like terms: -15 + 7 = -8 -2q = -8 Divide each side by '-2'. q = 4 Simplifying q = 4
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