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Simplifying 8c + 11c + 9 = -18 + -8(-1c + 20) Reorder the terms: 9 + 8c + 11c = -18 + -8(-1c + 20) Combine like terms: 8c + 11c = 19c 9 + 19c = -18 + -8(-1c + 20) Reorder the terms: 9 + 19c = -18 + -8(20 + -1c) 9 + 19c = -18 + (20 * -8 + -1c * -8) 9 + 19c = -18 + (-160 + 8c) Combine like terms: -18 + -160 = -178 9 + 19c = -178 + 8c Solving 9 + 19c = -178 + 8c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-8c' to each side of the equation. 9 + 19c + -8c = -178 + 8c + -8c Combine like terms: 19c + -8c = 11c 9 + 11c = -178 + 8c + -8c Combine like terms: 8c + -8c = 0 9 + 11c = -178 + 0 9 + 11c = -178 Add '-9' to each side of the equation. 9 + -9 + 11c = -178 + -9 Combine like terms: 9 + -9 = 0 0 + 11c = -178 + -9 11c = -178 + -9 Combine like terms: -178 + -9 = -187 11c = -187 Divide each side by '11'. c = -17 Simplifying c = -17
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