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Simplifying 32 + -7m = -5(4m + 8) + -6 Reorder the terms: 32 + -7m = -5(8 + 4m) + -6 32 + -7m = (8 * -5 + 4m * -5) + -6 32 + -7m = (-40 + -20m) + -6 Reorder the terms: 32 + -7m = -40 + -6 + -20m Combine like terms: -40 + -6 = -46 32 + -7m = -46 + -20m Solving 32 + -7m = -46 + -20m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '20m' to each side of the equation. 32 + -7m + 20m = -46 + -20m + 20m Combine like terms: -7m + 20m = 13m 32 + 13m = -46 + -20m + 20m Combine like terms: -20m + 20m = 0 32 + 13m = -46 + 0 32 + 13m = -46 Add '-32' to each side of the equation. 32 + -32 + 13m = -46 + -32 Combine like terms: 32 + -32 = 0 0 + 13m = -46 + -32 13m = -46 + -32 Combine like terms: -46 + -32 = -78 13m = -78 Divide each side by '13'. m = -6 Simplifying m = -6
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