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Simplifying 2[5(m + -4) + 16] + -1[3(5m + -2) + 1] = 0 Reorder the terms: 2[5(-4 + m) + 16] + -1[3(5m + -2) + 1] = 0 2[(-4 * 5 + m * 5) + 16] + -1[3(5m + -2) + 1] = 0 2[(-20 + 5m) + 16] + -1[3(5m + -2) + 1] = 0 Reorder the terms: 2[-20 + 16 + 5m] + -1[3(5m + -2) + 1] = 0 Combine like terms: -20 + 16 = -4 2[-4 + 5m] + -1[3(5m + -2) + 1] = 0 [-4 * 2 + 5m * 2] + -1[3(5m + -2) + 1] = 0 [-8 + 10m] + -1[3(5m + -2) + 1] = 0 Reorder the terms: -8 + 10m + -1[3(-2 + 5m) + 1] = 0 -8 + 10m + -1[(-2 * 3 + 5m * 3) + 1] = 0 -8 + 10m + -1[(-6 + 15m) + 1] = 0 Reorder the terms: -8 + 10m + -1[-6 + 1 + 15m] = 0 Combine like terms: -6 + 1 = -5 -8 + 10m + -1[-5 + 15m] = 0 -8 + 10m + [-5 * -1 + 15m * -1] = 0 -8 + 10m + [5 + -15m] = 0 Reorder the terms: -8 + 5 + 10m + -15m = 0 Combine like terms: -8 + 5 = -3 -3 + 10m + -15m = 0 Combine like terms: 10m + -15m = -5m -3 + -5m = 0 Solving -3 + -5m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -5m = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -5m = 0 + 3 -5m = 0 + 3 Combine like terms: 0 + 3 = 3 -5m = 3 Divide each side by '-5'. m = -0.6 Simplifying m = -0.6
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