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Simplifying -8(3c + -10) + 3 = -17 + -18c + -20 Reorder the terms: -8(-10 + 3c) + 3 = -17 + -18c + -20 (-10 * -8 + 3c * -8) + 3 = -17 + -18c + -20 (80 + -24c) + 3 = -17 + -18c + -20 Reorder the terms: 80 + 3 + -24c = -17 + -18c + -20 Combine like terms: 80 + 3 = 83 83 + -24c = -17 + -18c + -20 Reorder the terms: 83 + -24c = -17 + -20 + -18c Combine like terms: -17 + -20 = -37 83 + -24c = -37 + -18c Solving 83 + -24c = -37 + -18c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '18c' to each side of the equation. 83 + -24c + 18c = -37 + -18c + 18c Combine like terms: -24c + 18c = -6c 83 + -6c = -37 + -18c + 18c Combine like terms: -18c + 18c = 0 83 + -6c = -37 + 0 83 + -6c = -37 Add '-83' to each side of the equation. 83 + -83 + -6c = -37 + -83 Combine like terms: 83 + -83 = 0 0 + -6c = -37 + -83 -6c = -37 + -83 Combine like terms: -37 + -83 = -120 -6c = -120 Divide each side by '-6'. c = 20 Simplifying c = 20
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