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Simplifying 8(2m + -3) = -2(m + -42) Reorder the terms: 8(-3 + 2m) = -2(m + -42) (-3 * 8 + 2m * 8) = -2(m + -42) (-24 + 16m) = -2(m + -42) Reorder the terms: -24 + 16m = -2(-42 + m) -24 + 16m = (-42 * -2 + m * -2) -24 + 16m = (84 + -2m) Solving -24 + 16m = 84 + -2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '2m' to each side of the equation. -24 + 16m + 2m = 84 + -2m + 2m Combine like terms: 16m + 2m = 18m -24 + 18m = 84 + -2m + 2m Combine like terms: -2m + 2m = 0 -24 + 18m = 84 + 0 -24 + 18m = 84 Add '24' to each side of the equation. -24 + 24 + 18m = 84 + 24 Combine like terms: -24 + 24 = 0 0 + 18m = 84 + 24 18m = 84 + 24 Combine like terms: 84 + 24 = 108 18m = 108 Divide each side by '18'. m = 6 Simplifying m = 6
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