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Simplifying 5m + 2 + -4(m + 1) = 3m + 7 Reorder the terms: 5m + 2 + -4(1 + m) = 3m + 7 5m + 2 + (1 * -4 + m * -4) = 3m + 7 5m + 2 + (-4 + -4m) = 3m + 7 Reorder the terms: 2 + -4 + 5m + -4m = 3m + 7 Combine like terms: 2 + -4 = -2 -2 + 5m + -4m = 3m + 7 Combine like terms: 5m + -4m = 1m -2 + 1m = 3m + 7 Reorder the terms: -2 + 1m = 7 + 3m Solving -2 + 1m = 7 + 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. -2 + 1m + -3m = 7 + 3m + -3m Combine like terms: 1m + -3m = -2m -2 + -2m = 7 + 3m + -3m Combine like terms: 3m + -3m = 0 -2 + -2m = 7 + 0 -2 + -2m = 7 Add '2' to each side of the equation. -2 + 2 + -2m = 7 + 2 Combine like terms: -2 + 2 = 0 0 + -2m = 7 + 2 -2m = 7 + 2 Combine like terms: 7 + 2 = 9 -2m = 9 Divide each side by '-2'. m = -4.5 Simplifying m = -4.5
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