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Simplifying 2c + 3 = 4(5c + -6) Reorder the terms: 3 + 2c = 4(5c + -6) Reorder the terms: 3 + 2c = 4(-6 + 5c) 3 + 2c = (-6 * 4 + 5c * 4) 3 + 2c = (-24 + 20c) Solving 3 + 2c = -24 + 20c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-20c' to each side of the equation. 3 + 2c + -20c = -24 + 20c + -20c Combine like terms: 2c + -20c = -18c 3 + -18c = -24 + 20c + -20c Combine like terms: 20c + -20c = 0 3 + -18c = -24 + 0 3 + -18c = -24 Add '-3' to each side of the equation. 3 + -3 + -18c = -24 + -3 Combine like terms: 3 + -3 = 0 0 + -18c = -24 + -3 -18c = -24 + -3 Combine like terms: -24 + -3 = -27 -18c = -27 Divide each side by '-18'. c = 1.5 Simplifying c = 1.5
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