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Simplifying 4m + 7 + 2(3m + -4) = 4(m + 4) Reorder the terms: 4m + 7 + 2(-4 + 3m) = 4(m + 4) 4m + 7 + (-4 * 2 + 3m * 2) = 4(m + 4) 4m + 7 + (-8 + 6m) = 4(m + 4) Reorder the terms: 7 + -8 + 4m + 6m = 4(m + 4) Combine like terms: 7 + -8 = -1 -1 + 4m + 6m = 4(m + 4) Combine like terms: 4m + 6m = 10m -1 + 10m = 4(m + 4) Reorder the terms: -1 + 10m = 4(4 + m) -1 + 10m = (4 * 4 + m * 4) -1 + 10m = (16 + 4m) Solving -1 + 10m = 16 + 4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-4m' to each side of the equation. -1 + 10m + -4m = 16 + 4m + -4m Combine like terms: 10m + -4m = 6m -1 + 6m = 16 + 4m + -4m Combine like terms: 4m + -4m = 0 -1 + 6m = 16 + 0 -1 + 6m = 16 Add '1' to each side of the equation. -1 + 1 + 6m = 16 + 1 Combine like terms: -1 + 1 = 0 0 + 6m = 16 + 1 6m = 16 + 1 Combine like terms: 16 + 1 = 17 6m = 17 Divide each side by '6'. m = 2.833333333 Simplifying m = 2.833333333
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