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Simplifying 3(5c + -4) = 8c + 2 Reorder the terms: 3(-4 + 5c) = 8c + 2 (-4 * 3 + 5c * 3) = 8c + 2 (-12 + 15c) = 8c + 2 Reorder the terms: -12 + 15c = 2 + 8c Solving -12 + 15c = 2 + 8c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-8c' to each side of the equation. -12 + 15c + -8c = 2 + 8c + -8c Combine like terms: 15c + -8c = 7c -12 + 7c = 2 + 8c + -8c Combine like terms: 8c + -8c = 0 -12 + 7c = 2 + 0 -12 + 7c = 2 Add '12' to each side of the equation. -12 + 12 + 7c = 2 + 12 Combine like terms: -12 + 12 = 0 0 + 7c = 2 + 12 7c = 2 + 12 Combine like terms: 2 + 12 = 14 7c = 14 Divide each side by '7'. c = 2 Simplifying c = 2
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