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Simplifying 4(2c + -6) = 7c Reorder the terms: 4(-6 + 2c) = 7c (-6 * 4 + 2c * 4) = 7c (-24 + 8c) = 7c Solving -24 + 8c = 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. -24 + 8c + -7c = 7c + -7c Combine like terms: 8c + -7c = 1c -24 + 1c = 7c + -7c Combine like terms: 7c + -7c = 0 -24 + 1c = 0 Add '24' to each side of the equation. -24 + 24 + 1c = 0 + 24 Combine like terms: -24 + 24 = 0 0 + 1c = 0 + 24 1c = 0 + 24 Combine like terms: 0 + 24 = 24 1c = 24 Divide each side by '1'. c = 24 Simplifying c = 24
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