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Simplifying 3(8c + -4) = 21 + 5c Reorder the terms: 3(-4 + 8c) = 21 + 5c (-4 * 3 + 8c * 3) = 21 + 5c (-12 + 24c) = 21 + 5c Solving -12 + 24c = 21 + 5c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-5c' to each side of the equation. -12 + 24c + -5c = 21 + 5c + -5c Combine like terms: 24c + -5c = 19c -12 + 19c = 21 + 5c + -5c Combine like terms: 5c + -5c = 0 -12 + 19c = 21 + 0 -12 + 19c = 21 Add '12' to each side of the equation. -12 + 12 + 19c = 21 + 12 Combine like terms: -12 + 12 = 0 0 + 19c = 21 + 12 19c = 21 + 12 Combine like terms: 21 + 12 = 33 19c = 33 Divide each side by '19'. c = 1.736842105 Simplifying c = 1.736842105
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