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Simplifying 4[m + -1(10 + -1m)] = 5(2m + 6) 4[m + (10 * -1 + -1m * -1)] = 5(2m + 6) 4[m + (-10 + 1m)] = 5(2m + 6) Reorder the terms: 4[-10 + m + 1m] = 5(2m + 6) Combine like terms: m + 1m = 2m 4[-10 + 2m] = 5(2m + 6) [-10 * 4 + 2m * 4] = 5(2m + 6) [-40 + 8m] = 5(2m + 6) Reorder the terms: -40 + 8m = 5(6 + 2m) -40 + 8m = (6 * 5 + 2m * 5) -40 + 8m = (30 + 10m) Solving -40 + 8m = 30 + 10m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-10m' to each side of the equation. -40 + 8m + -10m = 30 + 10m + -10m Combine like terms: 8m + -10m = -2m -40 + -2m = 30 + 10m + -10m Combine like terms: 10m + -10m = 0 -40 + -2m = 30 + 0 -40 + -2m = 30 Add '40' to each side of the equation. -40 + 40 + -2m = 30 + 40 Combine like terms: -40 + 40 = 0 0 + -2m = 30 + 40 -2m = 30 + 40 Combine like terms: 30 + 40 = 70 -2m = 70 Divide each side by '-2'. m = -35 Simplifying m = -35
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