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Simplifying 4(m + 1) + 6 = 3(2m + -8) + -22 Reorder the terms: 4(1 + m) + 6 = 3(2m + -8) + -22 (1 * 4 + m * 4) + 6 = 3(2m + -8) + -22 (4 + 4m) + 6 = 3(2m + -8) + -22 Reorder the terms: 4 + 6 + 4m = 3(2m + -8) + -22 Combine like terms: 4 + 6 = 10 10 + 4m = 3(2m + -8) + -22 Reorder the terms: 10 + 4m = 3(-8 + 2m) + -22 10 + 4m = (-8 * 3 + 2m * 3) + -22 10 + 4m = (-24 + 6m) + -22 Reorder the terms: 10 + 4m = -24 + -22 + 6m Combine like terms: -24 + -22 = -46 10 + 4m = -46 + 6m Solving 10 + 4m = -46 + 6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-6m' to each side of the equation. 10 + 4m + -6m = -46 + 6m + -6m Combine like terms: 4m + -6m = -2m 10 + -2m = -46 + 6m + -6m Combine like terms: 6m + -6m = 0 10 + -2m = -46 + 0 10 + -2m = -46 Add '-10' to each side of the equation. 10 + -10 + -2m = -46 + -10 Combine like terms: 10 + -10 = 0 0 + -2m = -46 + -10 -2m = -46 + -10 Combine like terms: -46 + -10 = -56 -2m = -56 Divide each side by '-2'. m = 28 Simplifying m = 28
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