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Simplifying 21(2m + -4) = 6(4m + -8) Reorder the terms: 21(-4 + 2m) = 6(4m + -8) (-4 * 21 + 2m * 21) = 6(4m + -8) (-84 + 42m) = 6(4m + -8) Reorder the terms: -84 + 42m = 6(-8 + 4m) -84 + 42m = (-8 * 6 + 4m * 6) -84 + 42m = (-48 + 24m) Solving -84 + 42m = -48 + 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. -84 + 42m + -24m = -48 + 24m + -24m Combine like terms: 42m + -24m = 18m -84 + 18m = -48 + 24m + -24m Combine like terms: 24m + -24m = 0 -84 + 18m = -48 + 0 -84 + 18m = -48 Add '84' to each side of the equation. -84 + 84 + 18m = -48 + 84 Combine like terms: -84 + 84 = 0 0 + 18m = -48 + 84 18m = -48 + 84 Combine like terms: -48 + 84 = 36 18m = 36 Divide each side by '18'. m = 2 Simplifying m = 2
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