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Simplifying 8c + 10 = 3(4c + 5) Reorder the terms: 10 + 8c = 3(4c + 5) Reorder the terms: 10 + 8c = 3(5 + 4c) 10 + 8c = (5 * 3 + 4c * 3) 10 + 8c = (15 + 12c) Solving 10 + 8c = 15 + 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. 10 + 8c + -12c = 15 + 12c + -12c Combine like terms: 8c + -12c = -4c 10 + -4c = 15 + 12c + -12c Combine like terms: 12c + -12c = 0 10 + -4c = 15 + 0 10 + -4c = 15 Add '-10' to each side of the equation. 10 + -10 + -4c = 15 + -10 Combine like terms: 10 + -10 = 0 0 + -4c = 15 + -10 -4c = 15 + -10 Combine like terms: 15 + -10 = 5 -4c = 5 Divide each side by '-4'. c = -1.25 Simplifying c = -1.25
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