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Simplifying 89 = 4c + 8(c + -6) Reorder the terms: 89 = 4c + 8(-6 + c) 89 = 4c + (-6 * 8 + c * 8) 89 = 4c + (-48 + 8c) Reorder the terms: 89 = -48 + 4c + 8c Combine like terms: 4c + 8c = 12c 89 = -48 + 12c Solving 89 = -48 + 12c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-12c' to each side of the equation. 89 + -12c = -48 + 12c + -12c Combine like terms: 12c + -12c = 0 89 + -12c = -48 + 0 89 + -12c = -48 Add '-89' to each side of the equation. 89 + -89 + -12c = -48 + -89 Combine like terms: 89 + -89 = 0 0 + -12c = -48 + -89 -12c = -48 + -89 Combine like terms: -48 + -89 = -137 -12c = -137 Divide each side by '-12'. c = 11.41666667 Simplifying c = 11.41666667
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