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Simplifying 7 + -1(m + 6) = 3m + -11 Reorder the terms: 7 + -1(6 + m) = 3m + -11 7 + (6 * -1 + m * -1) = 3m + -11 7 + (-6 + -1m) = 3m + -11 Combine like terms: 7 + -6 = 1 1 + -1m = 3m + -11 Reorder the terms: 1 + -1m = -11 + 3m Solving 1 + -1m = -11 + 3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3m' to each side of the equation. 1 + -1m + -3m = -11 + 3m + -3m Combine like terms: -1m + -3m = -4m 1 + -4m = -11 + 3m + -3m Combine like terms: 3m + -3m = 0 1 + -4m = -11 + 0 1 + -4m = -11 Add '-1' to each side of the equation. 1 + -1 + -4m = -11 + -1 Combine like terms: 1 + -1 = 0 0 + -4m = -11 + -1 -4m = -11 + -1 Combine like terms: -11 + -1 = -12 -4m = -12 Divide each side by '-4'. m = 3 Simplifying m = 3
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