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