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Simplifying 3(5c + -4) = 6c + 2 Reorder the terms: 3(-4 + 5c) = 6c + 2 (-4 * 3 + 5c * 3) = 6c + 2 (-12 + 15c) = 6c + 2 Reorder the terms: -12 + 15c = 2 + 6c Solving -12 + 15c = 2 + 6c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-6c' to each side of the equation. -12 + 15c + -6c = 2 + 6c + -6c Combine like terms: 15c + -6c = 9c -12 + 9c = 2 + 6c + -6c Combine like terms: 6c + -6c = 0 -12 + 9c = 2 + 0 -12 + 9c = 2 Add '12' to each side of the equation. -12 + 12 + 9c = 2 + 12 Combine like terms: -12 + 12 = 0 0 + 9c = 2 + 12 9c = 2 + 12 Combine like terms: 2 + 12 = 14 9c = 14 Divide each side by '9'. c = 1.555555556 Simplifying c = 1.555555556
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