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Simplifying 7(m + 10) = -11m + 4(6m + -5) Reorder the terms: 7(10 + m) = -11m + 4(6m + -5) (10 * 7 + m * 7) = -11m + 4(6m + -5) (70 + 7m) = -11m + 4(6m + -5) Reorder the terms: 70 + 7m = -11m + 4(-5 + 6m) 70 + 7m = -11m + (-5 * 4 + 6m * 4) 70 + 7m = -11m + (-20 + 24m) Reorder the terms: 70 + 7m = -20 + -11m + 24m Combine like terms: -11m + 24m = 13m 70 + 7m = -20 + 13m Solving 70 + 7m = -20 + 13m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-13m' to each side of the equation. 70 + 7m + -13m = -20 + 13m + -13m Combine like terms: 7m + -13m = -6m 70 + -6m = -20 + 13m + -13m Combine like terms: 13m + -13m = 0 70 + -6m = -20 + 0 70 + -6m = -20 Add '-70' to each side of the equation. 70 + -70 + -6m = -20 + -70 Combine like terms: 70 + -70 = 0 0 + -6m = -20 + -70 -6m = -20 + -70 Combine like terms: -20 + -70 = -90 -6m = -90 Divide each side by '-6'. m = 15 Simplifying m = 15
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