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Simplifying 34 + -1(36 + 4) = 2(c + 6) + c Combine like terms: 36 + 4 = 40 34 + -1(40) = 2(c + 6) + c Multiply -1 * 40 34 + -40 = 2(c + 6) + c Combine like terms: 34 + -40 = -6 -6 = 2(c + 6) + c Reorder the terms: -6 = 2(6 + c) + c -6 = (6 * 2 + c * 2) + c -6 = (12 + 2c) + c Combine like terms: 2c + c = 3c -6 = 12 + 3c Solving -6 = 12 + 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. -6 + -3c = 12 + 3c + -3c Combine like terms: 3c + -3c = 0 -6 + -3c = 12 + 0 -6 + -3c = 12 Add '6' to each side of the equation. -6 + 6 + -3c = 12 + 6 Combine like terms: -6 + 6 = 0 0 + -3c = 12 + 6 -3c = 12 + 6 Combine like terms: 12 + 6 = 18 -3c = 18 Divide each side by '-3'. c = -6 Simplifying c = -6
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