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Simplifying 3(c + 1) = 4 + -1(c + -3) Reorder the terms: 3(1 + c) = 4 + -1(c + -3) (1 * 3 + c * 3) = 4 + -1(c + -3) (3 + 3c) = 4 + -1(c + -3) Reorder the terms: 3 + 3c = 4 + -1(-3 + c) 3 + 3c = 4 + (-3 * -1 + c * -1) 3 + 3c = 4 + (3 + -1c) Combine like terms: 4 + 3 = 7 3 + 3c = 7 + -1c Solving 3 + 3c = 7 + -1c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add 'c' to each side of the equation. 3 + 3c + c = 7 + -1c + c Combine like terms: 3c + c = 4c 3 + 4c = 7 + -1c + c Combine like terms: -1c + c = 0 3 + 4c = 7 + 0 3 + 4c = 7 Add '-3' to each side of the equation. 3 + -3 + 4c = 7 + -3 Combine like terms: 3 + -3 = 0 0 + 4c = 7 + -3 4c = 7 + -3 Combine like terms: 7 + -3 = 4 4c = 4 Divide each side by '4'. c = 1 Simplifying c = 1
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