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Simplifying 4(3c + -6) = 2(5c + -15) Reorder the terms: 4(-6 + 3c) = 2(5c + -15) (-6 * 4 + 3c * 4) = 2(5c + -15) (-24 + 12c) = 2(5c + -15) Reorder the terms: -24 + 12c = 2(-15 + 5c) -24 + 12c = (-15 * 2 + 5c * 2) -24 + 12c = (-30 + 10c) Solving -24 + 12c = -30 + 10c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-10c' to each side of the equation. -24 + 12c + -10c = -30 + 10c + -10c Combine like terms: 12c + -10c = 2c -24 + 2c = -30 + 10c + -10c Combine like terms: 10c + -10c = 0 -24 + 2c = -30 + 0 -24 + 2c = -30 Add '24' to each side of the equation. -24 + 24 + 2c = -30 + 24 Combine like terms: -24 + 24 = 0 0 + 2c = -30 + 24 2c = -30 + 24 Combine like terms: -30 + 24 = -6 2c = -6 Divide each side by '2'. c = -3 Simplifying c = -3
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