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Simplifying 7 = 6(c + 1) + -5 Reorder the terms: 7 = 6(1 + c) + -5 7 = (1 * 6 + c * 6) + -5 7 = (6 + 6c) + -5 Reorder the terms: 7 = 6 + -5 + 6c Combine like terms: 6 + -5 = 1 7 = 1 + 6c Solving 7 = 1 + 6c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-6c' to each side of the equation. 7 + -6c = 1 + 6c + -6c Combine like terms: 6c + -6c = 0 7 + -6c = 1 + 0 7 + -6c = 1 Add '-7' to each side of the equation. 7 + -7 + -6c = 1 + -7 Combine like terms: 7 + -7 = 0 0 + -6c = 1 + -7 -6c = 1 + -7 Combine like terms: 1 + -7 = -6 -6c = -6 Divide each side by '-6'. c = 1 Simplifying c = 1
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