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Simplifying 6(3m + 5) = 2(4x + -21) Reorder the terms: 6(5 + 3m) = 2(4x + -21) (5 * 6 + 3m * 6) = 2(4x + -21) (30 + 18m) = 2(4x + -21) Reorder the terms: 30 + 18m = 2(-21 + 4x) 30 + 18m = (-21 * 2 + 4x * 2) 30 + 18m = (-42 + 8x) Solving 30 + 18m = -42 + 8x Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 18m = -42 + -30 + 8x Combine like terms: 30 + -30 = 0 0 + 18m = -42 + -30 + 8x 18m = -42 + -30 + 8x Combine like terms: -42 + -30 = -72 18m = -72 + 8x Divide each side by '18'. m = -4 + 0.4444444444x Simplifying m = -4 + 0.4444444444x
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