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Simplifying 0.50(2c + 20) = 2(3c + -5) Reorder the terms: 0.50(20 + 2c) = 2(3c + -5) (20 * 0.50 + 2c * 0.50) = 2(3c + -5) (10 + 1c) = 2(3c + -5) Reorder the terms: 10 + 1c = 2(-5 + 3c) 10 + 1c = (-5 * 2 + 3c * 2) 10 + 1c = (-10 + 6c) Solving 10 + 1c = -10 + 6c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-6c' to each side of the equation. 10 + 1c + -6c = -10 + 6c + -6c Combine like terms: 1c + -6c = -5c 10 + -5c = -10 + 6c + -6c Combine like terms: 6c + -6c = 0 10 + -5c = -10 + 0 10 + -5c = -10 Add '-10' to each side of the equation. 10 + -10 + -5c = -10 + -10 Combine like terms: 10 + -10 = 0 0 + -5c = -10 + -10 -5c = -10 + -10 Combine like terms: -10 + -10 = -20 -5c = -20 Divide each side by '-5'. c = 4 Simplifying c = 4
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