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Simplifying (5m + -85) + -1(16m + -36) = 1 Reorder the terms: (-85 + 5m) + -1(16m + -36) = 1 Remove parenthesis around (-85 + 5m) -85 + 5m + -1(16m + -36) = 1 Reorder the terms: -85 + 5m + -1(-36 + 16m) = 1 -85 + 5m + (-36 * -1 + 16m * -1) = 1 -85 + 5m + (36 + -16m) = 1 Reorder the terms: -85 + 36 + 5m + -16m = 1 Combine like terms: -85 + 36 = -49 -49 + 5m + -16m = 1 Combine like terms: 5m + -16m = -11m -49 + -11m = 1 Solving -49 + -11m = 1 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '49' to each side of the equation. -49 + 49 + -11m = 1 + 49 Combine like terms: -49 + 49 = 0 0 + -11m = 1 + 49 -11m = 1 + 49 Combine like terms: 1 + 49 = 50 -11m = 50 Divide each side by '-11'. m = -4.545454545 Simplifying m = -4.545454545
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