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Simplifying (3c + 8) + -29 + 15 + c + 30 = 64 Reorder the terms: (8 + 3c) + -29 + 15 + c + 30 = 64 Remove parenthesis around (8 + 3c) 8 + 3c + -29 + 15 + c + 30 = 64 Reorder the terms: 8 + -29 + 15 + 30 + 3c + c = 64 Combine like terms: 8 + -29 = -21 -21 + 15 + 30 + 3c + c = 64 Combine like terms: -21 + 15 = -6 -6 + 30 + 3c + c = 64 Combine like terms: -6 + 30 = 24 24 + 3c + c = 64 Combine like terms: 3c + c = 4c 24 + 4c = 64 Solving 24 + 4c = 64 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 4c = 64 + -24 Combine like terms: 24 + -24 = 0 0 + 4c = 64 + -24 4c = 64 + -24 Combine like terms: 64 + -24 = 40 4c = 40 Divide each side by '4'. c = 10 Simplifying c = 10
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