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Simplifying -3(c + -8) + -5 = 9(c + 2) + 1 Reorder the terms: -3(-8 + c) + -5 = 9(c + 2) + 1 (-8 * -3 + c * -3) + -5 = 9(c + 2) + 1 (24 + -3c) + -5 = 9(c + 2) + 1 Reorder the terms: 24 + -5 + -3c = 9(c + 2) + 1 Combine like terms: 24 + -5 = 19 19 + -3c = 9(c + 2) + 1 Reorder the terms: 19 + -3c = 9(2 + c) + 1 19 + -3c = (2 * 9 + c * 9) + 1 19 + -3c = (18 + 9c) + 1 Reorder the terms: 19 + -3c = 18 + 1 + 9c Combine like terms: 18 + 1 = 19 19 + -3c = 19 + 9c Add '-19' to each side of the equation. 19 + -19 + -3c = 19 + -19 + 9c Combine like terms: 19 + -19 = 0 0 + -3c = 19 + -19 + 9c -3c = 19 + -19 + 9c Combine like terms: 19 + -19 = 0 -3c = 0 + 9c -3c = 9c Solving -3c = 9c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-9c' to each side of the equation. -3c + -9c = 9c + -9c Combine like terms: -3c + -9c = -12c -12c = 9c + -9c Combine like terms: 9c + -9c = 0 -12c = 0 Divide each side by '-12'. c = 0 Simplifying c = 0
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