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Simplifying 0.8c + 9 = 8(0.6c + -2) Reorder the terms: 9 + 0.8c = 8(0.6c + -2) Reorder the terms: 9 + 0.8c = 8(-2 + 0.6c) 9 + 0.8c = (-2 * 8 + 0.6c * 8) 9 + 0.8c = (-16 + 4.8c) Solving 9 + 0.8c = -16 + 4.8c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-4.8c' to each side of the equation. 9 + 0.8c + -4.8c = -16 + 4.8c + -4.8c Combine like terms: 0.8c + -4.8c = -4c 9 + -4c = -16 + 4.8c + -4.8c Combine like terms: 4.8c + -4.8c = 0.0 9 + -4c = -16 + 0.0 9 + -4c = -16 Add '-9' to each side of the equation. 9 + -9 + -4c = -16 + -9 Combine like terms: 9 + -9 = 0 0 + -4c = -16 + -9 -4c = -16 + -9 Combine like terms: -16 + -9 = -25 -4c = -25 Divide each side by '-4'. c = 6.25 Simplifying c = 6.25
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