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Simplifying 4(3 + -8m) + 2 = -178 (3 * 4 + -8m * 4) + 2 = -178 (12 + -32m) + 2 = -178 Reorder the terms: 12 + 2 + -32m = -178 Combine like terms: 12 + 2 = 14 14 + -32m = -178 Solving 14 + -32m = -178 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -32m = -178 + -14 Combine like terms: 14 + -14 = 0 0 + -32m = -178 + -14 -32m = -178 + -14 Combine like terms: -178 + -14 = -192 -32m = -192 Divide each side by '-32'. m = 6 Simplifying m = 6
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