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Simplifying 3 + 2[8 + -4(5 + 3m) + 7] + -1(6 + -2m) = 0 3 + 2[8 + (5 * -4 + 3m * -4) + 7] + -1(6 + -2m) = 0 3 + 2[8 + (-20 + -12m) + 7] + -1(6 + -2m) = 0 Reorder the terms: 3 + 2[8 + -20 + 7 + -12m] + -1(6 + -2m) = 0 Combine like terms: 8 + -20 = -12 3 + 2[-12 + 7 + -12m] + -1(6 + -2m) = 0 Combine like terms: -12 + 7 = -5 3 + 2[-5 + -12m] + -1(6 + -2m) = 0 3 + [-5 * 2 + -12m * 2] + -1(6 + -2m) = 0 3 + [-10 + -24m] + -1(6 + -2m) = 0 3 + -10 + -24m + (6 * -1 + -2m * -1) = 0 3 + -10 + -24m + (-6 + 2m) = 0 Reorder the terms: 3 + -10 + -6 + -24m + 2m = 0 Combine like terms: 3 + -10 = -7 -7 + -6 + -24m + 2m = 0 Combine like terms: -7 + -6 = -13 -13 + -24m + 2m = 0 Combine like terms: -24m + 2m = -22m -13 + -22m = 0 Solving -13 + -22m = 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 + -22m = 0 + 13 Combine like terms: -13 + 13 = 0 0 + -22m = 0 + 13 -22m = 0 + 13 Combine like terms: 0 + 13 = 13 -22m = 13 Divide each side by '-22'. m = -0.5909090909 Simplifying m = -0.5909090909
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