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Simplifying 8(m + -6) = 5(m + 3) Reorder the terms: 8(-6 + m) = 5(m + 3) (-6 * 8 + m * 8) = 5(m + 3) (-48 + 8m) = 5(m + 3) Reorder the terms: -48 + 8m = 5(3 + m) -48 + 8m = (3 * 5 + m * 5) -48 + 8m = (15 + 5m) Solving -48 + 8m = 15 + 5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-5m' to each side of the equation. -48 + 8m + -5m = 15 + 5m + -5m Combine like terms: 8m + -5m = 3m -48 + 3m = 15 + 5m + -5m Combine like terms: 5m + -5m = 0 -48 + 3m = 15 + 0 -48 + 3m = 15 Add '48' to each side of the equation. -48 + 48 + 3m = 15 + 48 Combine like terms: -48 + 48 = 0 0 + 3m = 15 + 48 3m = 15 + 48 Combine like terms: 15 + 48 = 63 3m = 63 Divide each side by '3'. m = 21 Simplifying m = 21
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