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Simplifying 5[5m + -1(m + 4)] = -8m + 16 Reorder the terms: 5[5m + -1(4 + m)] = -8m + 16 5[5m + (4 * -1 + m * -1)] = -8m + 16 5[5m + (-4 + -1m)] = -8m + 16 Reorder the terms: 5[-4 + 5m + -1m] = -8m + 16 Combine like terms: 5m + -1m = 4m 5[-4 + 4m] = -8m + 16 [-4 * 5 + 4m * 5] = -8m + 16 [-20 + 20m] = -8m + 16 Reorder the terms: -20 + 20m = 16 + -8m Solving -20 + 20m = 16 + -8m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '8m' to each side of the equation. -20 + 20m + 8m = 16 + -8m + 8m Combine like terms: 20m + 8m = 28m -20 + 28m = 16 + -8m + 8m Combine like terms: -8m + 8m = 0 -20 + 28m = 16 + 0 -20 + 28m = 16 Add '20' to each side of the equation. -20 + 20 + 28m = 16 + 20 Combine like terms: -20 + 20 = 0 0 + 28m = 16 + 20 28m = 16 + 20 Combine like terms: 16 + 20 = 36 28m = 36 Divide each side by '28'. m = 1.285714286 Simplifying m = 1.285714286
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