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Simplifying -117 = 4(3 + 8m) + -1 -117 = (3 * 4 + 8m * 4) + -1 -117 = (12 + 32m) + -1 Reorder the terms: -117 = 12 + -1 + 32m Combine like terms: 12 + -1 = 11 -117 = 11 + 32m Solving -117 = 11 + 32m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-32m' to each side of the equation. -117 + -32m = 11 + 32m + -32m Combine like terms: 32m + -32m = 0 -117 + -32m = 11 + 0 -117 + -32m = 11 Add '117' to each side of the equation. -117 + 117 + -32m = 11 + 117 Combine like terms: -117 + 117 = 0 0 + -32m = 11 + 117 -32m = 11 + 117 Combine like terms: 11 + 117 = 128 -32m = 128 Divide each side by '-32'. m = -4 Simplifying m = -4
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