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Simplifying 4(1 + c) + -1(3 + c) = 15 (1 * 4 + c * 4) + -1(3 + c) = 15 (4 + 4c) + -1(3 + c) = 15 4 + 4c + (3 * -1 + c * -1) = 15 4 + 4c + (-3 + -1c) = 15 Reorder the terms: 4 + -3 + 4c + -1c = 15 Combine like terms: 4 + -3 = 1 1 + 4c + -1c = 15 Combine like terms: 4c + -1c = 3c 1 + 3c = 15 Solving 1 + 3c = 15 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 3c = 15 + -1 Combine like terms: 1 + -1 = 0 0 + 3c = 15 + -1 3c = 15 + -1 Combine like terms: 15 + -1 = 14 3c = 14 Divide each side by '3'. c = 4.666666667 Simplifying c = 4.666666667
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