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Simplifying 5m + -32 = 7(m + 8) Reorder the terms: -32 + 5m = 7(m + 8) Reorder the terms: -32 + 5m = 7(8 + m) -32 + 5m = (8 * 7 + m * 7) -32 + 5m = (56 + 7m) Solving -32 + 5m = 56 + 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. -32 + 5m + -7m = 56 + 7m + -7m Combine like terms: 5m + -7m = -2m -32 + -2m = 56 + 7m + -7m Combine like terms: 7m + -7m = 0 -32 + -2m = 56 + 0 -32 + -2m = 56 Add '32' to each side of the equation. -32 + 32 + -2m = 56 + 32 Combine like terms: -32 + 32 = 0 0 + -2m = 56 + 32 -2m = 56 + 32 Combine like terms: 56 + 32 = 88 -2m = 88 Divide each side by '-2'. m = -44 Simplifying m = -44
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