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Simplifying 8(c + -2) = 4(5 + -1c) Reorder the terms: 8(-2 + c) = 4(5 + -1c) (-2 * 8 + c * 8) = 4(5 + -1c) (-16 + 8c) = 4(5 + -1c) -16 + 8c = (5 * 4 + -1c * 4) -16 + 8c = (20 + -4c) Solving -16 + 8c = 20 + -4c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '4c' to each side of the equation. -16 + 8c + 4c = 20 + -4c + 4c Combine like terms: 8c + 4c = 12c -16 + 12c = 20 + -4c + 4c Combine like terms: -4c + 4c = 0 -16 + 12c = 20 + 0 -16 + 12c = 20 Add '16' to each side of the equation. -16 + 16 + 12c = 20 + 16 Combine like terms: -16 + 16 = 0 0 + 12c = 20 + 16 12c = 20 + 16 Combine like terms: 20 + 16 = 36 12c = 36 Divide each side by '12'. c = 3 Simplifying c = 3
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