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Simplifying -32 + -4m = -2(3m + 7) + -2 Reorder the terms: -32 + -4m = -2(7 + 3m) + -2 -32 + -4m = (7 * -2 + 3m * -2) + -2 -32 + -4m = (-14 + -6m) + -2 Reorder the terms: -32 + -4m = -14 + -2 + -6m Combine like terms: -14 + -2 = -16 -32 + -4m = -16 + -6m Solving -32 + -4m = -16 + -6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '6m' to each side of the equation. -32 + -4m + 6m = -16 + -6m + 6m Combine like terms: -4m + 6m = 2m -32 + 2m = -16 + -6m + 6m Combine like terms: -6m + 6m = 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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