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Simplifying 48 = 4(5 + a) 48 = (5 * 4 + a * 4) 48 = (20 + 4a) Solving 48 = 20 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. 48 + -4a = 20 + 4a + -4a Combine like terms: 4a + -4a = 0 48 + -4a = 20 + 0 48 + -4a = 20 Add '-48' to each side of the equation. 48 + -48 + -4a = 20 + -48 Combine like terms: 48 + -48 = 0 0 + -4a = 20 + -48 -4a = 20 + -48 Combine like terms: 20 + -48 = -28 -4a = -28 Divide each side by '-4'. a = 7 Simplifying a = 7
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