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Simplifying 2 + -3(2 + 6c) = 4(c + 1) + -8 2 + (2 * -3 + 6c * -3) = 4(c + 1) + -8 2 + (-6 + -18c) = 4(c + 1) + -8 Combine like terms: 2 + -6 = -4 -4 + -18c = 4(c + 1) + -8 Reorder the terms: -4 + -18c = 4(1 + c) + -8 -4 + -18c = (1 * 4 + c * 4) + -8 -4 + -18c = (4 + 4c) + -8 Reorder the terms: -4 + -18c = 4 + -8 + 4c Combine like terms: 4 + -8 = -4 -4 + -18c = -4 + 4c Add '4' to each side of the equation. -4 + 4 + -18c = -4 + 4 + 4c Combine like terms: -4 + 4 = 0 0 + -18c = -4 + 4 + 4c -18c = -4 + 4 + 4c Combine like terms: -4 + 4 = 0 -18c = 0 + 4c -18c = 4c Solving -18c = 4c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-4c' to each side of the equation. -18c + -4c = 4c + -4c Combine like terms: -18c + -4c = -22c -22c = 4c + -4c Combine like terms: 4c + -4c = 0 -22c = 0 Divide each side by '-22'. c = 0 Simplifying c = 0
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