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Simplifying 0.66(c + -4) + 8 = 0.5(6c + 9) Reorder the terms: 0.66(-4 + c) + 8 = 0.5(6c + 9) (-4 * 0.66 + c * 0.66) + 8 = 0.5(6c + 9) (-2.64 + 0.66c) + 8 = 0.5(6c + 9) Reorder the terms: -2.64 + 8 + 0.66c = 0.5(6c + 9) Combine like terms: -2.64 + 8 = 5.36 5.36 + 0.66c = 0.5(6c + 9) Reorder the terms: 5.36 + 0.66c = 0.5(9 + 6c) 5.36 + 0.66c = (9 * 0.5 + 6c * 0.5) 5.36 + 0.66c = (4.5 + 3c) Solving 5.36 + 0.66c = 4.5 + 3c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-3c' to each side of the equation. 5.36 + 0.66c + -3c = 4.5 + 3c + -3c Combine like terms: 0.66c + -3c = -2.34c 5.36 + -2.34c = 4.5 + 3c + -3c Combine like terms: 3c + -3c = 0 5.36 + -2.34c = 4.5 + 0 5.36 + -2.34c = 4.5 Add '-5.36' to each side of the equation. 5.36 + -5.36 + -2.34c = 4.5 + -5.36 Combine like terms: 5.36 + -5.36 = 0.00 0.00 + -2.34c = 4.5 + -5.36 -2.34c = 4.5 + -5.36 Combine like terms: 4.5 + -5.36 = -0.86 -2.34c = -0.86 Divide each side by '-2.34'. c = 0.3675213675 Simplifying c = 0.3675213675
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