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Simplifying 26 + -1(2c + -3) = 2(c + 4) + c Reorder the terms: 26 + -1(-3 + 2c) = 2(c + 4) + c 26 + (-3 * -1 + 2c * -1) = 2(c + 4) + c 26 + (3 + -2c) = 2(c + 4) + c Combine like terms: 26 + 3 = 29 29 + -2c = 2(c + 4) + c Reorder the terms: 29 + -2c = 2(4 + c) + c 29 + -2c = (4 * 2 + c * 2) + c 29 + -2c = (8 + 2c) + c Combine like terms: 2c + c = 3c 29 + -2c = 8 + 3c Solving 29 + -2c = 8 + 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. 29 + -2c + -3c = 8 + 3c + -3c Combine like terms: -2c + -3c = -5c 29 + -5c = 8 + 3c + -3c Combine like terms: 3c + -3c = 0 29 + -5c = 8 + 0 29 + -5c = 8 Add '-29' to each side of the equation. 29 + -29 + -5c = 8 + -29 Combine like terms: 29 + -29 = 0 0 + -5c = 8 + -29 -5c = 8 + -29 Combine like terms: 8 + -29 = -21 -5c = -21 Divide each side by '-5'. c = 4.2 Simplifying c = 4.2
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