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Simplifying 4c + -3(c + -8) = 42 Reorder the terms: 4c + -3(-8 + c) = 42 4c + (-8 * -3 + c * -3) = 42 4c + (24 + -3c) = 42 Reorder the terms: 24 + 4c + -3c = 42 Combine like terms: 4c + -3c = 1c 24 + 1c = 42 Solving 24 + 1c = 42 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 1c = 42 + -24 Combine like terms: 24 + -24 = 0 0 + 1c = 42 + -24 1c = 42 + -24 Combine like terms: 42 + -24 = 18 1c = 18 Divide each side by '1'. c = 18 Simplifying c = 18
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