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Simplifying 4(2 + m) = 8(m + -7) (2 * 4 + m * 4) = 8(m + -7) (8 + 4m) = 8(m + -7) Reorder the terms: 8 + 4m = 8(-7 + m) 8 + 4m = (-7 * 8 + m * 8) 8 + 4m = (-56 + 8m) Solving 8 + 4m = -56 + 8m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-8m' to each side of the equation. 8 + 4m + -8m = -56 + 8m + -8m Combine like terms: 4m + -8m = -4m 8 + -4m = -56 + 8m + -8m Combine like terms: 8m + -8m = 0 8 + -4m = -56 + 0 8 + -4m = -56 Add '-8' to each side of the equation. 8 + -8 + -4m = -56 + -8 Combine like terms: 8 + -8 = 0 0 + -4m = -56 + -8 -4m = -56 + -8 Combine like terms: -56 + -8 = -64 -4m = -64 Divide each side by '-4'. m = 16 Simplifying m = 16
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