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Simplifying -32 + -7m = -7m + -2(8 + -1m) -32 + -7m = -7m + (8 * -2 + -1m * -2) -32 + -7m = -7m + (-16 + 2m) Reorder the terms: -32 + -7m = -16 + -7m + 2m Combine like terms: -7m + 2m = -5m -32 + -7m = -16 + -5m Solving -32 + -7m = -16 + -5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '5m' to each side of the equation. -32 + -7m + 5m = -16 + -5m + 5m Combine like terms: -7m + 5m = -2m -32 + -2m = -16 + -5m + 5m Combine like terms: -5m + 5m = 0 -32 + -2m = -16 + 0 -32 + -2m = -16 Add '32' to each side of the equation. -32 + 32 + -2m = -16 + 32 Combine like terms: -32 + 32 = 0 0 + -2m = -16 + 32 -2m = -16 + 32 Combine like terms: -16 + 32 = 16 -2m = 16 Divide each side by '-2'. m = -8 Simplifying m = -8
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