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Simplifying 3c + -4c + 1 = 2(q + 1) Reorder the terms: 1 + 3c + -4c = 2(q + 1) Combine like terms: 3c + -4c = -1c 1 + -1c = 2(q + 1) Reorder the terms: 1 + -1c = 2(1 + q) 1 + -1c = (1 * 2 + q * 2) 1 + -1c = (2 + 2q) Solving 1 + -1c = 2 + 2q 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 + -1c = 2 + -1 + 2q Combine like terms: 1 + -1 = 0 0 + -1c = 2 + -1 + 2q -1c = 2 + -1 + 2q Combine like terms: 2 + -1 = 1 -1c = 1 + 2q Divide each side by '-1'. c = -1 + -2q Simplifying c = -1 + -2q
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