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Simplifying 35 + -1(2c + 3) = 2(c + 3) + c Reorder the terms: 35 + -1(3 + 2c) = 2(c + 3) + c 35 + (3 * -1 + 2c * -1) = 2(c + 3) + c 35 + (-3 + -2c) = 2(c + 3) + c Combine like terms: 35 + -3 = 32 32 + -2c = 2(c + 3) + c Reorder the terms: 32 + -2c = 2(3 + c) + c 32 + -2c = (3 * 2 + c * 2) + c 32 + -2c = (6 + 2c) + c Combine like terms: 2c + c = 3c 32 + -2c = 6 + 3c Solving 32 + -2c = 6 + 3c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-3c' to each side of the equation. 32 + -2c + -3c = 6 + 3c + -3c Combine like terms: -2c + -3c = -5c 32 + -5c = 6 + 3c + -3c Combine like terms: 3c + -3c = 0 32 + -5c = 6 + 0 32 + -5c = 6 Add '-32' to each side of the equation. 32 + -32 + -5c = 6 + -32 Combine like terms: 32 + -32 = 0 0 + -5c = 6 + -32 -5c = 6 + -32 Combine like terms: 6 + -32 = -26 -5c = -26 Divide each side by '-5'. c = 5.2 Simplifying c = 5.2
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