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Simplifying 7 + 7(6m + -3) = 24 + 4m Reorder the terms: 7 + 7(-3 + 6m) = 24 + 4m 7 + (-3 * 7 + 6m * 7) = 24 + 4m 7 + (-21 + 42m) = 24 + 4m Combine like terms: 7 + -21 = -14 -14 + 42m = 24 + 4m Solving -14 + 42m = 24 + 4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-4m' to each side of the equation. -14 + 42m + -4m = 24 + 4m + -4m Combine like terms: 42m + -4m = 38m -14 + 38m = 24 + 4m + -4m Combine like terms: 4m + -4m = 0 -14 + 38m = 24 + 0 -14 + 38m = 24 Add '14' to each side of the equation. -14 + 14 + 38m = 24 + 14 Combine like terms: -14 + 14 = 0 0 + 38m = 24 + 14 38m = 24 + 14 Combine like terms: 24 + 14 = 38 38m = 38 Divide each side by '38'. m = 1 Simplifying m = 1
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