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Simplifying 5(m + -10) + 6(m + -11) + -9(m + -12) = 0 Reorder the terms: 5(-10 + m) + 6(m + -11) + -9(m + -12) = 0 (-10 * 5 + m * 5) + 6(m + -11) + -9(m + -12) = 0 (-50 + 5m) + 6(m + -11) + -9(m + -12) = 0 Reorder the terms: -50 + 5m + 6(-11 + m) + -9(m + -12) = 0 -50 + 5m + (-11 * 6 + m * 6) + -9(m + -12) = 0 -50 + 5m + (-66 + 6m) + -9(m + -12) = 0 Reorder the terms: -50 + 5m + -66 + 6m + -9(-12 + m) = 0 -50 + 5m + -66 + 6m + (-12 * -9 + m * -9) = 0 -50 + 5m + -66 + 6m + (108 + -9m) = 0 Reorder the terms: -50 + -66 + 108 + 5m + 6m + -9m = 0 Combine like terms: -50 + -66 = -116 -116 + 108 + 5m + 6m + -9m = 0 Combine like terms: -116 + 108 = -8 -8 + 5m + 6m + -9m = 0 Combine like terms: 5m + 6m = 11m -8 + 11m + -9m = 0 Combine like terms: 11m + -9m = 2m -8 + 2m = 0 Solving -8 + 2m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 2m = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 2m = 0 + 8 2m = 0 + 8 Combine like terms: 0 + 8 = 8 2m = 8 Divide each side by '2'. m = 4 Simplifying m = 4
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