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Simplifying 4 = -21c + 27 + 8(3c + -4) Reorder the terms: 4 = -21c + 27 + 8(-4 + 3c) 4 = -21c + 27 + (-4 * 8 + 3c * 8) 4 = -21c + 27 + (-32 + 24c) Reorder the terms: 4 = 27 + -32 + -21c + 24c Combine like terms: 27 + -32 = -5 4 = -5 + -21c + 24c Combine like terms: -21c + 24c = 3c 4 = -5 + 3c Solving 4 = -5 + 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. 4 + -3c = -5 + 3c + -3c Combine like terms: 3c + -3c = 0 4 + -3c = -5 + 0 4 + -3c = -5 Add '-4' to each side of the equation. 4 + -4 + -3c = -5 + -4 Combine like terms: 4 + -4 = 0 0 + -3c = -5 + -4 -3c = -5 + -4 Combine like terms: -5 + -4 = -9 -3c = -9 Divide each side by '-3'. c = 3 Simplifying c = 3
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