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Simplifying 6(2c + 5) = 2(4c + 94) Reorder the terms: 6(5 + 2c) = 2(4c + 94) (5 * 6 + 2c * 6) = 2(4c + 94) (30 + 12c) = 2(4c + 94) Reorder the terms: 30 + 12c = 2(94 + 4c) 30 + 12c = (94 * 2 + 4c * 2) 30 + 12c = (188 + 8c) Solving 30 + 12c = 188 + 8c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-8c' to each side of the equation. 30 + 12c + -8c = 188 + 8c + -8c Combine like terms: 12c + -8c = 4c 30 + 4c = 188 + 8c + -8c Combine like terms: 8c + -8c = 0 30 + 4c = 188 + 0 30 + 4c = 188 Add '-30' to each side of the equation. 30 + -30 + 4c = 188 + -30 Combine like terms: 30 + -30 = 0 0 + 4c = 188 + -30 4c = 188 + -30 Combine like terms: 188 + -30 = 158 4c = 158 Divide each side by '4'. c = 39.5 Simplifying c = 39.5
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