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Simplifying -3(1 + 7m) = 6(11 + -4m) (1 * -3 + 7m * -3) = 6(11 + -4m) (-3 + -21m) = 6(11 + -4m) -3 + -21m = (11 * 6 + -4m * 6) -3 + -21m = (66 + -24m) Solving -3 + -21m = 66 + -24m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '24m' to each side of the equation. -3 + -21m + 24m = 66 + -24m + 24m Combine like terms: -21m + 24m = 3m -3 + 3m = 66 + -24m + 24m Combine like terms: -24m + 24m = 0 -3 + 3m = 66 + 0 -3 + 3m = 66 Add '3' to each side of the equation. -3 + 3 + 3m = 66 + 3 Combine like terms: -3 + 3 = 0 0 + 3m = 66 + 3 3m = 66 + 3 Combine like terms: 66 + 3 = 69 3m = 69 Divide each side by '3'. m = 23 Simplifying m = 23
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