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Simplifying -5(6m + 7) = -5 + -6(4m + -7) Reorder the terms: -5(7 + 6m) = -5 + -6(4m + -7) (7 * -5 + 6m * -5) = -5 + -6(4m + -7) (-35 + -30m) = -5 + -6(4m + -7) Reorder the terms: -35 + -30m = -5 + -6(-7 + 4m) -35 + -30m = -5 + (-7 * -6 + 4m * -6) -35 + -30m = -5 + (42 + -24m) Combine like terms: -5 + 42 = 37 -35 + -30m = 37 + -24m Solving -35 + -30m = 37 + -24m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '24m' to each side of the equation. -35 + -30m + 24m = 37 + -24m + 24m Combine like terms: -30m + 24m = -6m -35 + -6m = 37 + -24m + 24m Combine like terms: -24m + 24m = 0 -35 + -6m = 37 + 0 -35 + -6m = 37 Add '35' to each side of the equation. -35 + 35 + -6m = 37 + 35 Combine like terms: -35 + 35 = 0 0 + -6m = 37 + 35 -6m = 37 + 35 Combine like terms: 37 + 35 = 72 -6m = 72 Divide each side by '-6'. m = -12 Simplifying m = -12
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