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Simplifying 4(c + 3) + -1(c + -1) = 64 Reorder the terms: 4(3 + c) + -1(c + -1) = 64 (3 * 4 + c * 4) + -1(c + -1) = 64 (12 + 4c) + -1(c + -1) = 64 Reorder the terms: 12 + 4c + -1(-1 + c) = 64 12 + 4c + (-1 * -1 + c * -1) = 64 12 + 4c + (1 + -1c) = 64 Reorder the terms: 12 + 1 + 4c + -1c = 64 Combine like terms: 12 + 1 = 13 13 + 4c + -1c = 64 Combine like terms: 4c + -1c = 3c 13 + 3c = 64 Solving 13 + 3c = 64 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 3c = 64 + -13 Combine like terms: 13 + -13 = 0 0 + 3c = 64 + -13 3c = 64 + -13 Combine like terms: 64 + -13 = 51 3c = 51 Divide each side by '3'. c = 17 Simplifying c = 17
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