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Simplifying 4(2 + -6m) = 6(m + -4m) (2 * 4 + -6m * 4) = 6(m + -4m) (8 + -24m) = 6(m + -4m) Combine like terms: m + -4m = -3m 8 + -24m = 6(-3m) Remove parenthesis around (-3m) 8 + -24m = 6 * -3m Multiply 6 * -3 8 + -24m = -18m Solving 8 + -24m = -18m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '18m' to each side of the equation. 8 + -24m + 18m = -18m + 18m Combine like terms: -24m + 18m = -6m 8 + -6m = -18m + 18m Combine like terms: -18m + 18m = 0 8 + -6m = 0 Add '-8' to each side of the equation. 8 + -8 + -6m = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -6m = 0 + -8 -6m = 0 + -8 Combine like terms: 0 + -8 = -8 -6m = -8 Divide each side by '-6'. m = 1.333333333 Simplifying m = 1.333333333
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