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Simplifying 5(4m + -7) + -3m + -8(3m + -1) + -5(3m + 4) + 11 = 0 Reorder the terms: 5(-7 + 4m) + -3m + -8(3m + -1) + -5(3m + 4) + 11 = 0 (-7 * 5 + 4m * 5) + -3m + -8(3m + -1) + -5(3m + 4) + 11 = 0 (-35 + 20m) + -3m + -8(3m + -1) + -5(3m + 4) + 11 = 0 Reorder the terms: -35 + 20m + -3m + -8(-1 + 3m) + -5(3m + 4) + 11 = 0 -35 + 20m + -3m + (-1 * -8 + 3m * -8) + -5(3m + 4) + 11 = 0 -35 + 20m + -3m + (8 + -24m) + -5(3m + 4) + 11 = 0 Reorder the terms: -35 + 20m + -3m + 8 + -24m + -5(4 + 3m) + 11 = 0 -35 + 20m + -3m + 8 + -24m + (4 * -5 + 3m * -5) + 11 = 0 -35 + 20m + -3m + 8 + -24m + (-20 + -15m) + 11 = 0 Reorder the terms: -35 + 8 + -20 + 11 + 20m + -3m + -24m + -15m = 0 Combine like terms: -35 + 8 = -27 -27 + -20 + 11 + 20m + -3m + -24m + -15m = 0 Combine like terms: -27 + -20 = -47 -47 + 11 + 20m + -3m + -24m + -15m = 0 Combine like terms: -47 + 11 = -36 -36 + 20m + -3m + -24m + -15m = 0 Combine like terms: 20m + -3m = 17m -36 + 17m + -24m + -15m = 0 Combine like terms: 17m + -24m = -7m -36 + -7m + -15m = 0 Combine like terms: -7m + -15m = -22m -36 + -22m = 0 Solving -36 + -22m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + -22m = 0 + 36 Combine like terms: -36 + 36 = 0 0 + -22m = 0 + 36 -22m = 0 + 36 Combine like terms: 0 + 36 = 36 -22m = 36 Divide each side by '-22'. m = -1.636363636 Simplifying m = -1.636363636
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