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Simplifying 5c + -4(c + 3) = 17 + -2(c + -5) Reorder the terms: 5c + -4(3 + c) = 17 + -2(c + -5) 5c + (3 * -4 + c * -4) = 17 + -2(c + -5) 5c + (-12 + -4c) = 17 + -2(c + -5) Reorder the terms: -12 + 5c + -4c = 17 + -2(c + -5) Combine like terms: 5c + -4c = 1c -12 + 1c = 17 + -2(c + -5) Reorder the terms: -12 + 1c = 17 + -2(-5 + c) -12 + 1c = 17 + (-5 * -2 + c * -2) -12 + 1c = 17 + (10 + -2c) Combine like terms: 17 + 10 = 27 -12 + 1c = 27 + -2c Solving -12 + 1c = 27 + -2c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '2c' to each side of the equation. -12 + 1c + 2c = 27 + -2c + 2c Combine like terms: 1c + 2c = 3c -12 + 3c = 27 + -2c + 2c Combine like terms: -2c + 2c = 0 -12 + 3c = 27 + 0 -12 + 3c = 27 Add '12' to each side of the equation. -12 + 12 + 3c = 27 + 12 Combine like terms: -12 + 12 = 0 0 + 3c = 27 + 12 3c = 27 + 12 Combine like terms: 27 + 12 = 39 3c = 39 Divide each side by '3'. c = 13 Simplifying c = 13
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