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Simplifying -7(m + 1) + -8 = -8(m + 4) + 17 Reorder the terms: -7(1 + m) + -8 = -8(m + 4) + 17 (1 * -7 + m * -7) + -8 = -8(m + 4) + 17 (-7 + -7m) + -8 = -8(m + 4) + 17 Reorder the terms: -7 + -8 + -7m = -8(m + 4) + 17 Combine like terms: -7 + -8 = -15 -15 + -7m = -8(m + 4) + 17 Reorder the terms: -15 + -7m = -8(4 + m) + 17 -15 + -7m = (4 * -8 + m * -8) + 17 -15 + -7m = (-32 + -8m) + 17 Reorder the terms: -15 + -7m = -32 + 17 + -8m Combine like terms: -32 + 17 = -15 -15 + -7m = -15 + -8m Add '15' to each side of the equation. -15 + 15 + -7m = -15 + 15 + -8m Combine like terms: -15 + 15 = 0 0 + -7m = -15 + 15 + -8m -7m = -15 + 15 + -8m Combine like terms: -15 + 15 = 0 -7m = 0 + -8m -7m = -8m Solving -7m = -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. -7m + 8m = -8m + 8m Combine like terms: -7m + 8m = 1m 1m = -8m + 8m Combine like terms: -8m + 8m = 0 1m = 0 Divide each side by '1'. m = 0 Simplifying m = 0
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