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Simplifying 5(2 + c) = 4(c + -6) (2 * 5 + c * 5) = 4(c + -6) (10 + 5c) = 4(c + -6) Reorder the terms: 10 + 5c = 4(-6 + c) 10 + 5c = (-6 * 4 + c * 4) 10 + 5c = (-24 + 4c) Solving 10 + 5c = -24 + 4c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-4c' to each side of the equation. 10 + 5c + -4c = -24 + 4c + -4c Combine like terms: 5c + -4c = 1c 10 + 1c = -24 + 4c + -4c Combine like terms: 4c + -4c = 0 10 + 1c = -24 + 0 10 + 1c = -24 Add '-10' to each side of the equation. 10 + -10 + 1c = -24 + -10 Combine like terms: 10 + -10 = 0 0 + 1c = -24 + -10 1c = -24 + -10 Combine like terms: -24 + -10 = -34 1c = -34 Divide each side by '1'. c = -34 Simplifying c = -34
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