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Simplifying 33 + -4c + -3(c + -1) = 22 Reorder the terms: 33 + -4c + -3(-1 + c) = 22 33 + -4c + (-1 * -3 + c * -3) = 22 33 + -4c + (3 + -3c) = 22 Reorder the terms: 33 + 3 + -4c + -3c = 22 Combine like terms: 33 + 3 = 36 36 + -4c + -3c = 22 Combine like terms: -4c + -3c = -7c 36 + -7c = 22 Solving 36 + -7c = 22 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + -7c = 22 + -36 Combine like terms: 36 + -36 = 0 0 + -7c = 22 + -36 -7c = 22 + -36 Combine like terms: 22 + -36 = -14 -7c = -14 Divide each side by '-7'. c = 2 Simplifying c = 2
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