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Simplifying 2m + -7 = 7(5 + -3m) + -2(m + -4) Reorder the terms: -7 + 2m = 7(5 + -3m) + -2(m + -4) -7 + 2m = (5 * 7 + -3m * 7) + -2(m + -4) -7 + 2m = (35 + -21m) + -2(m + -4) Reorder the terms: -7 + 2m = 35 + -21m + -2(-4 + m) -7 + 2m = 35 + -21m + (-4 * -2 + m * -2) -7 + 2m = 35 + -21m + (8 + -2m) Reorder the terms: -7 + 2m = 35 + 8 + -21m + -2m Combine like terms: 35 + 8 = 43 -7 + 2m = 43 + -21m + -2m Combine like terms: -21m + -2m = -23m -7 + 2m = 43 + -23m Solving -7 + 2m = 43 + -23m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '23m' to each side of the equation. -7 + 2m + 23m = 43 + -23m + 23m Combine like terms: 2m + 23m = 25m -7 + 25m = 43 + -23m + 23m Combine like terms: -23m + 23m = 0 -7 + 25m = 43 + 0 -7 + 25m = 43 Add '7' to each side of the equation. -7 + 7 + 25m = 43 + 7 Combine like terms: -7 + 7 = 0 0 + 25m = 43 + 7 25m = 43 + 7 Combine like terms: 43 + 7 = 50 25m = 50 Divide each side by '25'. m = 2 Simplifying m = 2
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