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Simplifying m + 7(4m + -5) = 6(6m + 7) Reorder the terms: m + 7(-5 + 4m) = 6(6m + 7) m + (-5 * 7 + 4m * 7) = 6(6m + 7) m + (-35 + 28m) = 6(6m + 7) Reorder the terms: -35 + m + 28m = 6(6m + 7) Combine like terms: m + 28m = 29m -35 + 29m = 6(6m + 7) Reorder the terms: -35 + 29m = 6(7 + 6m) -35 + 29m = (7 * 6 + 6m * 6) -35 + 29m = (42 + 36m) Solving -35 + 29m = 42 + 36m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-36m' to each side of the equation. -35 + 29m + -36m = 42 + 36m + -36m Combine like terms: 29m + -36m = -7m -35 + -7m = 42 + 36m + -36m Combine like terms: 36m + -36m = 0 -35 + -7m = 42 + 0 -35 + -7m = 42 Add '35' to each side of the equation. -35 + 35 + -7m = 42 + 35 Combine like terms: -35 + 35 = 0 0 + -7m = 42 + 35 -7m = 42 + 35 Combine like terms: 42 + 35 = 77 -7m = 77 Divide each side by '-7'. m = -11 Simplifying m = -11
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