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Simplifying 2m + 3(2m + -7) = 4 + 5(m + 2) Reorder the terms: 2m + 3(-7 + 2m) = 4 + 5(m + 2) 2m + (-7 * 3 + 2m * 3) = 4 + 5(m + 2) 2m + (-21 + 6m) = 4 + 5(m + 2) Reorder the terms: -21 + 2m + 6m = 4 + 5(m + 2) Combine like terms: 2m + 6m = 8m -21 + 8m = 4 + 5(m + 2) Reorder the terms: -21 + 8m = 4 + 5(2 + m) -21 + 8m = 4 + (2 * 5 + m * 5) -21 + 8m = 4 + (10 + 5m) Combine like terms: 4 + 10 = 14 -21 + 8m = 14 + 5m Solving -21 + 8m = 14 + 5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-5m' to each side of the equation. -21 + 8m + -5m = 14 + 5m + -5m Combine like terms: 8m + -5m = 3m -21 + 3m = 14 + 5m + -5m Combine like terms: 5m + -5m = 0 -21 + 3m = 14 + 0 -21 + 3m = 14 Add '21' to each side of the equation. -21 + 21 + 3m = 14 + 21 Combine like terms: -21 + 21 = 0 0 + 3m = 14 + 21 3m = 14 + 21 Combine like terms: 14 + 21 = 35 3m = 35 Divide each side by '3'. m = 11.66666667 Simplifying m = 11.66666667
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