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Simplifying 8(m + -1) = 7(m + 3) Reorder the terms: 8(-1 + m) = 7(m + 3) (-1 * 8 + m * 8) = 7(m + 3) (-8 + 8m) = 7(m + 3) Reorder the terms: -8 + 8m = 7(3 + m) -8 + 8m = (3 * 7 + m * 7) -8 + 8m = (21 + 7m) Solving -8 + 8m = 21 + 7m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-7m' to each side of the equation. -8 + 8m + -7m = 21 + 7m + -7m Combine like terms: 8m + -7m = 1m -8 + 1m = 21 + 7m + -7m Combine like terms: 7m + -7m = 0 -8 + 1m = 21 + 0 -8 + 1m = 21 Add '8' to each side of the equation. -8 + 8 + 1m = 21 + 8 Combine like terms: -8 + 8 = 0 0 + 1m = 21 + 8 1m = 21 + 8 Combine like terms: 21 + 8 = 29 1m = 29 Divide each side by '1'. m = 29 Simplifying m = 29
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