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Simplifying 48 = 8(6m + -3) + 8(m + -5) Reorder the terms: 48 = 8(-3 + 6m) + 8(m + -5) 48 = (-3 * 8 + 6m * 8) + 8(m + -5) 48 = (-24 + 48m) + 8(m + -5) Reorder the terms: 48 = -24 + 48m + 8(-5 + m) 48 = -24 + 48m + (-5 * 8 + m * 8) 48 = -24 + 48m + (-40 + 8m) Reorder the terms: 48 = -24 + -40 + 48m + 8m Combine like terms: -24 + -40 = -64 48 = -64 + 48m + 8m Combine like terms: 48m + 8m = 56m 48 = -64 + 56m Solving 48 = -64 + 56m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-56m' to each side of the equation. 48 + -56m = -64 + 56m + -56m Combine like terms: 56m + -56m = 0 48 + -56m = -64 + 0 48 + -56m = -64 Add '-48' to each side of the equation. 48 + -48 + -56m = -64 + -48 Combine like terms: 48 + -48 = 0 0 + -56m = -64 + -48 -56m = -64 + -48 Combine like terms: -64 + -48 = -112 -56m = -112 Divide each side by '-56'. m = 2 Simplifying m = 2
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