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Simplifying 2[(m + 80) + 50] = 3(m + 50) + -70 Reorder the terms: 2[(80 + m) + 50] = 3(m + 50) + -70 Remove parenthesis around (80 + m) 2[80 + m + 50] = 3(m + 50) + -70 Reorder the terms: 2[80 + 50 + m] = 3(m + 50) + -70 Combine like terms: 80 + 50 = 130 2[130 + m] = 3(m + 50) + -70 [130 * 2 + m * 2] = 3(m + 50) + -70 [260 + 2m] = 3(m + 50) + -70 Reorder the terms: 260 + 2m = 3(50 + m) + -70 260 + 2m = (50 * 3 + m * 3) + -70 260 + 2m = (150 + 3m) + -70 Reorder the terms: 260 + 2m = 150 + -70 + 3m Combine like terms: 150 + -70 = 80 260 + 2m = 80 + 3m Solving 260 + 2m = 80 + 3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3m' to each side of the equation. 260 + 2m + -3m = 80 + 3m + -3m Combine like terms: 2m + -3m = -1m 260 + -1m = 80 + 3m + -3m Combine like terms: 3m + -3m = 0 260 + -1m = 80 + 0 260 + -1m = 80 Add '-260' to each side of the equation. 260 + -260 + -1m = 80 + -260 Combine like terms: 260 + -260 = 0 0 + -1m = 80 + -260 -1m = 80 + -260 Combine like terms: 80 + -260 = -180 -1m = -180 Divide each side by '-1'. m = 180 Simplifying m = 180
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