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Simplifying 4(2c + -6) = 3(c + 7) Reorder the terms: 4(-6 + 2c) = 3(c + 7) (-6 * 4 + 2c * 4) = 3(c + 7) (-24 + 8c) = 3(c + 7) Reorder the terms: -24 + 8c = 3(7 + c) -24 + 8c = (7 * 3 + c * 3) -24 + 8c = (21 + 3c) Solving -24 + 8c = 21 + 3c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-3c' to each side of the equation. -24 + 8c + -3c = 21 + 3c + -3c Combine like terms: 8c + -3c = 5c -24 + 5c = 21 + 3c + -3c Combine like terms: 3c + -3c = 0 -24 + 5c = 21 + 0 -24 + 5c = 21 Add '24' to each side of the equation. -24 + 24 + 5c = 21 + 24 Combine like terms: -24 + 24 = 0 0 + 5c = 21 + 24 5c = 21 + 24 Combine like terms: 21 + 24 = 45 5c = 45 Divide each side by '5'. c = 9 Simplifying c = 9
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