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Simplifying 0.9 = -8c + 0.5 + 9c + 0.2 Reorder the terms: 0.9 = 0.5 + 0.2 + -8c + 9c Combine like terms: 0.5 + 0.2 = 0.7 0.9 = 0.7 + -8c + 9c Combine like terms: -8c + 9c = 1c 0.9 = 0.7 + 1c Solving 0.9 = 0.7 + 1c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-1c' to each side of the equation. 0.9 + -1c = 0.7 + 1c + -1c Combine like terms: 1c + -1c = 0 0.9 + -1c = 0.7 + 0 0.9 + -1c = 0.7 Add '-0.9' to each side of the equation. 0.9 + -0.9 + -1c = 0.7 + -0.9 Combine like terms: 0.9 + -0.9 = 0.0 0.0 + -1c = 0.7 + -0.9 -1c = 0.7 + -0.9 Combine like terms: 0.7 + -0.9 = -0.2 -1c = -0.2 Divide each side by '-1'. c = 0.2 Simplifying c = 0.2
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