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Simplifying 5(c + 3) + -2c = 4 + 3(2c + 1) Reorder the terms: 5(3 + c) + -2c = 4 + 3(2c + 1) (3 * 5 + c * 5) + -2c = 4 + 3(2c + 1) (15 + 5c) + -2c = 4 + 3(2c + 1) Combine like terms: 5c + -2c = 3c 15 + 3c = 4 + 3(2c + 1) Reorder the terms: 15 + 3c = 4 + 3(1 + 2c) 15 + 3c = 4 + (1 * 3 + 2c * 3) 15 + 3c = 4 + (3 + 6c) Combine like terms: 4 + 3 = 7 15 + 3c = 7 + 6c Solving 15 + 3c = 7 + 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. 15 + 3c + -6c = 7 + 6c + -6c Combine like terms: 3c + -6c = -3c 15 + -3c = 7 + 6c + -6c Combine like terms: 6c + -6c = 0 15 + -3c = 7 + 0 15 + -3c = 7 Add '-15' to each side of the equation. 15 + -15 + -3c = 7 + -15 Combine like terms: 15 + -15 = 0 0 + -3c = 7 + -15 -3c = 7 + -15 Combine like terms: 7 + -15 = -8 -3c = -8 Divide each side by '-3'. c = 2.666666667 Simplifying c = 2.666666667
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