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Simplifying 8m + -11 = 7 + -6(m + -4) Reorder the terms: -11 + 8m = 7 + -6(m + -4) Reorder the terms: -11 + 8m = 7 + -6(-4 + m) -11 + 8m = 7 + (-4 * -6 + m * -6) -11 + 8m = 7 + (24 + -6m) Combine like terms: 7 + 24 = 31 -11 + 8m = 31 + -6m Solving -11 + 8m = 31 + -6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '6m' to each side of the equation. -11 + 8m + 6m = 31 + -6m + 6m Combine like terms: 8m + 6m = 14m -11 + 14m = 31 + -6m + 6m Combine like terms: -6m + 6m = 0 -11 + 14m = 31 + 0 -11 + 14m = 31 Add '11' to each side of the equation. -11 + 11 + 14m = 31 + 11 Combine like terms: -11 + 11 = 0 0 + 14m = 31 + 11 14m = 31 + 11 Combine like terms: 31 + 11 = 42 14m = 42 Divide each side by '14'. m = 3 Simplifying m = 3
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