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Simplifying 3c + 10 = 6c + 8.65 Reorder the terms: 10 + 3c = 6c + 8.65 Reorder the terms: 10 + 3c = 8.65 + 6c Solving 10 + 3c = 8.65 + 6c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-6c' to each side of the equation. 10 + 3c + -6c = 8.65 + 6c + -6c Combine like terms: 3c + -6c = -3c 10 + -3c = 8.65 + 6c + -6c Combine like terms: 6c + -6c = 0 10 + -3c = 8.65 + 0 10 + -3c = 8.65 Add '-10' to each side of the equation. 10 + -10 + -3c = 8.65 + -10 Combine like terms: 10 + -10 = 0 0 + -3c = 8.65 + -10 -3c = 8.65 + -10 Combine like terms: 8.65 + -10 = -1.35 -3c = -1.35 Divide each side by '-3'. c = 0.45 Simplifying c = 0.45
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