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Simplifying (2m + -4) * 2 + -13(2m + -4) + 42 = 0 Reorder the terms: (-4 + 2m) * 2 + -13(2m + -4) + 42 = 0 Reorder the terms for easier multiplication: 2(-4 + 2m) + -13(2m + -4) + 42 = 0 (-4 * 2 + 2m * 2) + -13(2m + -4) + 42 = 0 (-8 + 4m) + -13(2m + -4) + 42 = 0 Reorder the terms: -8 + 4m + -13(-4 + 2m) + 42 = 0 -8 + 4m + (-4 * -13 + 2m * -13) + 42 = 0 -8 + 4m + (52 + -26m) + 42 = 0 Reorder the terms: -8 + 52 + 42 + 4m + -26m = 0 Combine like terms: -8 + 52 = 44 44 + 42 + 4m + -26m = 0 Combine like terms: 44 + 42 = 86 86 + 4m + -26m = 0 Combine like terms: 4m + -26m = -22m 86 + -22m = 0 Solving 86 + -22m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-86' to each side of the equation. 86 + -86 + -22m = 0 + -86 Combine like terms: 86 + -86 = 0 0 + -22m = 0 + -86 -22m = 0 + -86 Combine like terms: 0 + -86 = -86 -22m = -86 Divide each side by '-22'. m = 3.909090909 Simplifying m = 3.909090909
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