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Simplifying 22 + -1(3c + 4) = 2(c + 3) + c Reorder the terms: 22 + -1(4 + 3c) = 2(c + 3) + c 22 + (4 * -1 + 3c * -1) = 2(c + 3) + c 22 + (-4 + -3c) = 2(c + 3) + c Combine like terms: 22 + -4 = 18 18 + -3c = 2(c + 3) + c Reorder the terms: 18 + -3c = 2(3 + c) + c 18 + -3c = (3 * 2 + c * 2) + c 18 + -3c = (6 + 2c) + c Combine like terms: 2c + c = 3c 18 + -3c = 6 + 3c Solving 18 + -3c = 6 + 3c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-3c' to each side of the equation. 18 + -3c + -3c = 6 + 3c + -3c Combine like terms: -3c + -3c = -6c 18 + -6c = 6 + 3c + -3c Combine like terms: 3c + -3c = 0 18 + -6c = 6 + 0 18 + -6c = 6 Add '-18' to each side of the equation. 18 + -18 + -6c = 6 + -18 Combine like terms: 18 + -18 = 0 0 + -6c = 6 + -18 -6c = 6 + -18 Combine like terms: 6 + -18 = -12 -6c = -12 Divide each side by '-6'. c = 2 Simplifying c = 2
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