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Simplifying -5(6 + -3c) = 7c + 2 (6 * -5 + -3c * -5) = 7c + 2 (-30 + 15c) = 7c + 2 Reorder the terms: -30 + 15c = 2 + 7c Solving -30 + 15c = 2 + 7c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-7c' to each side of the equation. -30 + 15c + -7c = 2 + 7c + -7c Combine like terms: 15c + -7c = 8c -30 + 8c = 2 + 7c + -7c Combine like terms: 7c + -7c = 0 -30 + 8c = 2 + 0 -30 + 8c = 2 Add '30' to each side of the equation. -30 + 30 + 8c = 2 + 30 Combine like terms: -30 + 30 = 0 0 + 8c = 2 + 30 8c = 2 + 30 Combine like terms: 2 + 30 = 32 8c = 32 Divide each side by '8'. c = 4 Simplifying c = 4
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