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Simplifying -79 = -4(8m + -2) + -5(4 + 7m) Reorder the terms: -79 = -4(-2 + 8m) + -5(4 + 7m) -79 = (-2 * -4 + 8m * -4) + -5(4 + 7m) -79 = (8 + -32m) + -5(4 + 7m) -79 = 8 + -32m + (4 * -5 + 7m * -5) -79 = 8 + -32m + (-20 + -35m) Reorder the terms: -79 = 8 + -20 + -32m + -35m Combine like terms: 8 + -20 = -12 -79 = -12 + -32m + -35m Combine like terms: -32m + -35m = -67m -79 = -12 + -67m Solving -79 = -12 + -67m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '67m' to each side of the equation. -79 + 67m = -12 + -67m + 67m Combine like terms: -67m + 67m = 0 -79 + 67m = -12 + 0 -79 + 67m = -12 Add '79' to each side of the equation. -79 + 79 + 67m = -12 + 79 Combine like terms: -79 + 79 = 0 0 + 67m = -12 + 79 67m = -12 + 79 Combine like terms: -12 + 79 = 67 67m = 67 Divide each side by '67'. m = 1 Simplifying m = 1
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