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Simplifying 33 + -1(2c + 4) = 2(c + 7 + c) Reorder the terms: 33 + -1(4 + 2c) = 2(c + 7 + c) 33 + (4 * -1 + 2c * -1) = 2(c + 7 + c) 33 + (-4 + -2c) = 2(c + 7 + c) Combine like terms: 33 + -4 = 29 29 + -2c = 2(c + 7 + c) Reorder the terms: 29 + -2c = 2(7 + c + c) Combine like terms: c + c = 2c 29 + -2c = 2(7 + 2c) 29 + -2c = (7 * 2 + 2c * 2) 29 + -2c = (14 + 4c) Solving 29 + -2c = 14 + 4c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-4c' to each side of the equation. 29 + -2c + -4c = 14 + 4c + -4c Combine like terms: -2c + -4c = -6c 29 + -6c = 14 + 4c + -4c Combine like terms: 4c + -4c = 0 29 + -6c = 14 + 0 29 + -6c = 14 Add '-29' to each side of the equation. 29 + -29 + -6c = 14 + -29 Combine like terms: 29 + -29 = 0 0 + -6c = 14 + -29 -6c = 14 + -29 Combine like terms: 14 + -29 = -15 -6c = -15 Divide each side by '-6'. c = 2.5 Simplifying c = 2.5
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