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Simplifying 4(8 + -7m) = 14(2m + 4) (8 * 4 + -7m * 4) = 14(2m + 4) (32 + -28m) = 14(2m + 4) Reorder the terms: 32 + -28m = 14(4 + 2m) 32 + -28m = (4 * 14 + 2m * 14) 32 + -28m = (56 + 28m) Solving 32 + -28m = 56 + 28m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-28m' to each side of the equation. 32 + -28m + -28m = 56 + 28m + -28m Combine like terms: -28m + -28m = -56m 32 + -56m = 56 + 28m + -28m Combine like terms: 28m + -28m = 0 32 + -56m = 56 + 0 32 + -56m = 56 Add '-32' to each side of the equation. 32 + -32 + -56m = 56 + -32 Combine like terms: 32 + -32 = 0 0 + -56m = 56 + -32 -56m = 56 + -32 Combine like terms: 56 + -32 = 24 -56m = 24 Divide each side by '-56'. m = -0.4285714286 Simplifying m = -0.4285714286
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