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Simplifying 3(10m + -8) = 6(4m + -7) Reorder the terms: 3(-8 + 10m) = 6(4m + -7) (-8 * 3 + 10m * 3) = 6(4m + -7) (-24 + 30m) = 6(4m + -7) Reorder the terms: -24 + 30m = 6(-7 + 4m) -24 + 30m = (-7 * 6 + 4m * 6) -24 + 30m = (-42 + 24m) Solving -24 + 30m = -42 + 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. -24 + 30m + -24m = -42 + 24m + -24m Combine like terms: 30m + -24m = 6m -24 + 6m = -42 + 24m + -24m Combine like terms: 24m + -24m = 0 -24 + 6m = -42 + 0 -24 + 6m = -42 Add '24' to each side of the equation. -24 + 24 + 6m = -42 + 24 Combine like terms: -24 + 24 = 0 0 + 6m = -42 + 24 6m = -42 + 24 Combine like terms: -42 + 24 = -18 6m = -18 Divide each side by '6'. m = -3 Simplifying m = -3
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