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Simplifying 48 = 8(c + d) 48 = (c * 8 + d * 8) 48 = (8c + 8d) Solving 48 = 8c + 8d Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-8c' to each side of the equation. 48 + -8c = 8c + -8c + 8d Combine like terms: 8c + -8c = 0 48 + -8c = 0 + 8d 48 + -8c = 8d Add '-48' to each side of the equation. 48 + -48 + -8c = -48 + 8d Combine like terms: 48 + -48 = 0 0 + -8c = -48 + 8d -8c = -48 + 8d Divide each side by '-8'. c = 6 + -1d Simplifying c = 6 + -1d
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