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Simplifying 6(7 + -2) = 58 + q Combine like terms: 7 + -2 = 5 6(5) = 58 + q Multiply 6 * 5 30 = 58 + q Solving 30 = 58 + q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-1q' to each side of the equation. 30 + -1q = 58 + q + -1q Combine like terms: q + -1q = 0 30 + -1q = 58 + 0 30 + -1q = 58 Add '-30' to each side of the equation. 30 + -30 + -1q = 58 + -30 Combine like terms: 30 + -30 = 0 0 + -1q = 58 + -30 -1q = 58 + -30 Combine like terms: 58 + -30 = 28 -1q = 28 Divide each side by '-1'. q = -28 Simplifying q = -28
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