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Simplifying -5(c + 4) + 3c = -2(1 + 5c) + 6 Reorder the terms: -5(4 + c) + 3c = -2(1 + 5c) + 6 (4 * -5 + c * -5) + 3c = -2(1 + 5c) + 6 (-20 + -5c) + 3c = -2(1 + 5c) + 6 Combine like terms: -5c + 3c = -2c -20 + -2c = -2(1 + 5c) + 6 -20 + -2c = (1 * -2 + 5c * -2) + 6 -20 + -2c = (-2 + -10c) + 6 Reorder the terms: -20 + -2c = -2 + 6 + -10c Combine like terms: -2 + 6 = 4 -20 + -2c = 4 + -10c Solving -20 + -2c = 4 + -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. -20 + -2c + 10c = 4 + -10c + 10c Combine like terms: -2c + 10c = 8c -20 + 8c = 4 + -10c + 10c Combine like terms: -10c + 10c = 0 -20 + 8c = 4 + 0 -20 + 8c = 4 Add '20' to each side of the equation. -20 + 20 + 8c = 4 + 20 Combine like terms: -20 + 20 = 0 0 + 8c = 4 + 20 8c = 4 + 20 Combine like terms: 4 + 20 = 24 8c = 24 Divide each side by '8'. c = 3 Simplifying c = 3
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