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Simplifying 48 = 4(c + 8) Reorder the terms: 48 = 4(8 + c) 48 = (8 * 4 + c * 4) 48 = (32 + 4c) Solving 48 = 32 + 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. 48 + -4c = 32 + 4c + -4c Combine like terms: 4c + -4c = 0 48 + -4c = 32 + 0 48 + -4c = 32 Add '-48' to each side of the equation. 48 + -48 + -4c = 32 + -48 Combine like terms: 48 + -48 = 0 0 + -4c = 32 + -48 -4c = 32 + -48 Combine like terms: 32 + -48 = -16 -4c = -16 Divide each side by '-4'. c = 4 Simplifying c = 4
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