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Simplifying 5 + 2(m + -3) = 4(m + 7) + -5 Reorder the terms: 5 + 2(-3 + m) = 4(m + 7) + -5 5 + (-3 * 2 + m * 2) = 4(m + 7) + -5 5 + (-6 + 2m) = 4(m + 7) + -5 Combine like terms: 5 + -6 = -1 -1 + 2m = 4(m + 7) + -5 Reorder the terms: -1 + 2m = 4(7 + m) + -5 -1 + 2m = (7 * 4 + m * 4) + -5 -1 + 2m = (28 + 4m) + -5 Reorder the terms: -1 + 2m = 28 + -5 + 4m Combine like terms: 28 + -5 = 23 -1 + 2m = 23 + 4m Solving -1 + 2m = 23 + 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 + 2m + -4m = 23 + 4m + -4m Combine like terms: 2m + -4m = -2m -1 + -2m = 23 + 4m + -4m Combine like terms: 4m + -4m = 0 -1 + -2m = 23 + 0 -1 + -2m = 23 Add '1' to each side of the equation. -1 + 1 + -2m = 23 + 1 Combine like terms: -1 + 1 = 0 0 + -2m = 23 + 1 -2m = 23 + 1 Combine like terms: 23 + 1 = 24 -2m = 24 Divide each side by '-2'. m = -12 Simplifying m = -12
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