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Simplifying 8(m + -3) = 6(m + 7) Reorder the terms: 8(-3 + m) = 6(m + 7) (-3 * 8 + m * 8) = 6(m + 7) (-24 + 8m) = 6(m + 7) Reorder the terms: -24 + 8m = 6(7 + m) -24 + 8m = (7 * 6 + m * 6) -24 + 8m = (42 + 6m) Solving -24 + 8m = 42 + 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. -24 + 8m + -6m = 42 + 6m + -6m Combine like terms: 8m + -6m = 2m -24 + 2m = 42 + 6m + -6m Combine like terms: 6m + -6m = 0 -24 + 2m = 42 + 0 -24 + 2m = 42 Add '24' to each side of the equation. -24 + 24 + 2m = 42 + 24 Combine like terms: -24 + 24 = 0 0 + 2m = 42 + 24 2m = 42 + 24 Combine like terms: 42 + 24 = 66 2m = 66 Divide each side by '2'. m = 33 Simplifying m = 33
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