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Simplifying 3(c + 1) = 2(x + 1) + 2y Reorder the terms: 3(1 + c) = 2(x + 1) + 2y (1 * 3 + c * 3) = 2(x + 1) + 2y (3 + 3c) = 2(x + 1) + 2y Reorder the terms: 3 + 3c = 2(1 + x) + 2y 3 + 3c = (1 * 2 + x * 2) + 2y 3 + 3c = (2 + 2x) + 2y Solving 3 + 3c = 2 + 2x + 2y Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 3c = 2 + 2x + -3 + 2y Combine like terms: 3 + -3 = 0 0 + 3c = 2 + 2x + -3 + 2y 3c = 2 + 2x + -3 + 2y Reorder the terms: 3c = 2 + -3 + 2x + 2y Combine like terms: 2 + -3 = -1 3c = -1 + 2x + 2y Divide each side by '3'. c = -0.3333333333 + 0.6666666667x + 0.6666666667y Simplifying c = -0.3333333333 + 0.6666666667x + 0.6666666667y
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