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Simplifying 2(-8 + c) + -1(c + -6) = 3(5 + c) + 3 (-8 * 2 + c * 2) + -1(c + -6) = 3(5 + c) + 3 (-16 + 2c) + -1(c + -6) = 3(5 + c) + 3 Reorder the terms: -16 + 2c + -1(-6 + c) = 3(5 + c) + 3 -16 + 2c + (-6 * -1 + c * -1) = 3(5 + c) + 3 -16 + 2c + (6 + -1c) = 3(5 + c) + 3 Reorder the terms: -16 + 6 + 2c + -1c = 3(5 + c) + 3 Combine like terms: -16 + 6 = -10 -10 + 2c + -1c = 3(5 + c) + 3 Combine like terms: 2c + -1c = 1c -10 + 1c = 3(5 + c) + 3 -10 + 1c = (5 * 3 + c * 3) + 3 -10 + 1c = (15 + 3c) + 3 Reorder the terms: -10 + 1c = 15 + 3 + 3c Combine like terms: 15 + 3 = 18 -10 + 1c = 18 + 3c Solving -10 + 1c = 18 + 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. -10 + 1c + -3c = 18 + 3c + -3c Combine like terms: 1c + -3c = -2c -10 + -2c = 18 + 3c + -3c Combine like terms: 3c + -3c = 0 -10 + -2c = 18 + 0 -10 + -2c = 18 Add '10' to each side of the equation. -10 + 10 + -2c = 18 + 10 Combine like terms: -10 + 10 = 0 0 + -2c = 18 + 10 -2c = 18 + 10 Combine like terms: 18 + 10 = 28 -2c = 28 Divide each side by '-2'. c = -14 Simplifying c = -14
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