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Simplifying 30 + -3(m + 7) = -3(2m + 27) Reorder the terms: 30 + -3(7 + m) = -3(2m + 27) 30 + (7 * -3 + m * -3) = -3(2m + 27) 30 + (-21 + -3m) = -3(2m + 27) Combine like terms: 30 + -21 = 9 9 + -3m = -3(2m + 27) Reorder the terms: 9 + -3m = -3(27 + 2m) 9 + -3m = (27 * -3 + 2m * -3) 9 + -3m = (-81 + -6m) Solving 9 + -3m = -81 + -6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '6m' to each side of the equation. 9 + -3m + 6m = -81 + -6m + 6m Combine like terms: -3m + 6m = 3m 9 + 3m = -81 + -6m + 6m Combine like terms: -6m + 6m = 0 9 + 3m = -81 + 0 9 + 3m = -81 Add '-9' to each side of the equation. 9 + -9 + 3m = -81 + -9 Combine like terms: 9 + -9 = 0 0 + 3m = -81 + -9 3m = -81 + -9 Combine like terms: -81 + -9 = -90 3m = -90 Divide each side by '3'. m = -30 Simplifying m = -30
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