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Simplifying 5 + 4(m + -2) = 2(m + 7) + 1 Reorder the terms: 5 + 4(-2 + m) = 2(m + 7) + 1 5 + (-2 * 4 + m * 4) = 2(m + 7) + 1 5 + (-8 + 4m) = 2(m + 7) + 1 Combine like terms: 5 + -8 = -3 -3 + 4m = 2(m + 7) + 1 Reorder the terms: -3 + 4m = 2(7 + m) + 1 -3 + 4m = (7 * 2 + m * 2) + 1 -3 + 4m = (14 + 2m) + 1 Reorder the terms: -3 + 4m = 14 + 1 + 2m Combine like terms: 14 + 1 = 15 -3 + 4m = 15 + 2m Solving -3 + 4m = 15 + 2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2m' to each side of the equation. -3 + 4m + -2m = 15 + 2m + -2m Combine like terms: 4m + -2m = 2m -3 + 2m = 15 + 2m + -2m Combine like terms: 2m + -2m = 0 -3 + 2m = 15 + 0 -3 + 2m = 15 Add '3' to each side of the equation. -3 + 3 + 2m = 15 + 3 Combine like terms: -3 + 3 = 0 0 + 2m = 15 + 3 2m = 15 + 3 Combine like terms: 15 + 3 = 18 2m = 18 Divide each side by '2'. m = 9 Simplifying m = 9
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