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Simplifying m + -4(2m + -7) = 3(m + 6) Reorder the terms: m + -4(-7 + 2m) = 3(m + 6) m + (-7 * -4 + 2m * -4) = 3(m + 6) m + (28 + -8m) = 3(m + 6) Reorder the terms: 28 + m + -8m = 3(m + 6) Combine like terms: m + -8m = -7m 28 + -7m = 3(m + 6) Reorder the terms: 28 + -7m = 3(6 + m) 28 + -7m = (6 * 3 + m * 3) 28 + -7m = (18 + 3m) Solving 28 + -7m = 18 + 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. 28 + -7m + -3m = 18 + 3m + -3m Combine like terms: -7m + -3m = -10m 28 + -10m = 18 + 3m + -3m Combine like terms: 3m + -3m = 0 28 + -10m = 18 + 0 28 + -10m = 18 Add '-28' to each side of the equation. 28 + -28 + -10m = 18 + -28 Combine like terms: 28 + -28 = 0 0 + -10m = 18 + -28 -10m = 18 + -28 Combine like terms: 18 + -28 = -10 -10m = -10 Divide each side by '-10'. m = 1 Simplifying m = 1
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