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Simplifying 6(4 + 6) = 5(c + -2) Combine like terms: 4 + 6 = 10 6(10) = 5(c + -2) Multiply 6 * 10 60 = 5(c + -2) Reorder the terms: 60 = 5(-2 + c) 60 = (-2 * 5 + c * 5) 60 = (-10 + 5c) Solving 60 = -10 + 5c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-5c' to each side of the equation. 60 + -5c = -10 + 5c + -5c Combine like terms: 5c + -5c = 0 60 + -5c = -10 + 0 60 + -5c = -10 Add '-60' to each side of the equation. 60 + -60 + -5c = -10 + -60 Combine like terms: 60 + -60 = 0 0 + -5c = -10 + -60 -5c = -10 + -60 Combine like terms: -10 + -60 = -70 -5c = -70 Divide each side by '-5'. c = 14 Simplifying c = 14
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