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Simplifying 6(m + -7) + 20 = 3m + 5 Reorder the terms: 6(-7 + m) + 20 = 3m + 5 (-7 * 6 + m * 6) + 20 = 3m + 5 (-42 + 6m) + 20 = 3m + 5 Reorder the terms: -42 + 20 + 6m = 3m + 5 Combine like terms: -42 + 20 = -22 -22 + 6m = 3m + 5 Reorder the terms: -22 + 6m = 5 + 3m Solving -22 + 6m = 5 + 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. -22 + 6m + -3m = 5 + 3m + -3m Combine like terms: 6m + -3m = 3m -22 + 3m = 5 + 3m + -3m Combine like terms: 3m + -3m = 0 -22 + 3m = 5 + 0 -22 + 3m = 5 Add '22' to each side of the equation. -22 + 22 + 3m = 5 + 22 Combine like terms: -22 + 22 = 0 0 + 3m = 5 + 22 3m = 5 + 22 Combine like terms: 5 + 22 = 27 3m = 27 Divide each side by '3'. m = 9 Simplifying m = 9
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