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Simplifying 5(7m + -4) + -3(5m + -2) + 1 = 0 Reorder the terms: 5(-4 + 7m) + -3(5m + -2) + 1 = 0 (-4 * 5 + 7m * 5) + -3(5m + -2) + 1 = 0 (-20 + 35m) + -3(5m + -2) + 1 = 0 Reorder the terms: -20 + 35m + -3(-2 + 5m) + 1 = 0 -20 + 35m + (-2 * -3 + 5m * -3) + 1 = 0 -20 + 35m + (6 + -15m) + 1 = 0 Reorder the terms: -20 + 6 + 1 + 35m + -15m = 0 Combine like terms: -20 + 6 = -14 -14 + 1 + 35m + -15m = 0 Combine like terms: -14 + 1 = -13 -13 + 35m + -15m = 0 Combine like terms: 35m + -15m = 20m -13 + 20m = 0 Solving -13 + 20m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 20m = 0 + 13 Combine like terms: -13 + 13 = 0 0 + 20m = 0 + 13 20m = 0 + 13 Combine like terms: 0 + 13 = 13 20m = 13 Divide each side by '20'. m = 0.65 Simplifying m = 0.65
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