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Simplifying 6(m + -7) + 20 = 8m Reorder the terms: 6(-7 + m) + 20 = 8m (-7 * 6 + m * 6) + 20 = 8m (-42 + 6m) + 20 = 8m Reorder the terms: -42 + 20 + 6m = 8m Combine like terms: -42 + 20 = -22 -22 + 6m = 8m Solving -22 + 6m = 8m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-8m' to each side of the equation. -22 + 6m + -8m = 8m + -8m Combine like terms: 6m + -8m = -2m -22 + -2m = 8m + -8m Combine like terms: 8m + -8m = 0 -22 + -2m = 0 Add '22' to each side of the equation. -22 + 22 + -2m = 0 + 22 Combine like terms: -22 + 22 = 0 0 + -2m = 0 + 22 -2m = 0 + 22 Combine like terms: 0 + 22 = 22 -2m = 22 Divide each side by '-2'. m = -11 Simplifying m = -11
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