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Simplifying 2(m + -4) + 1 = 3(m + 3) + -13 Reorder the terms: 2(-4 + m) + 1 = 3(m + 3) + -13 (-4 * 2 + m * 2) + 1 = 3(m + 3) + -13 (-8 + 2m) + 1 = 3(m + 3) + -13 Reorder the terms: -8 + 1 + 2m = 3(m + 3) + -13 Combine like terms: -8 + 1 = -7 -7 + 2m = 3(m + 3) + -13 Reorder the terms: -7 + 2m = 3(3 + m) + -13 -7 + 2m = (3 * 3 + m * 3) + -13 -7 + 2m = (9 + 3m) + -13 Reorder the terms: -7 + 2m = 9 + -13 + 3m Combine like terms: 9 + -13 = -4 -7 + 2m = -4 + 3m Solving -7 + 2m = -4 + 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. -7 + 2m + -3m = -4 + 3m + -3m Combine like terms: 2m + -3m = -1m -7 + -1m = -4 + 3m + -3m Combine like terms: 3m + -3m = 0 -7 + -1m = -4 + 0 -7 + -1m = -4 Add '7' to each side of the equation. -7 + 7 + -1m = -4 + 7 Combine like terms: -7 + 7 = 0 0 + -1m = -4 + 7 -1m = -4 + 7 Combine like terms: -4 + 7 = 3 -1m = 3 Divide each side by '-1'. m = -3 Simplifying m = -3
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