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Simplifying 45 = 3(a + 5) Reorder the terms: 45 = 3(5 + a) 45 = (5 * 3 + a * 3) 45 = (15 + 3a) Solving 45 = 15 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. 45 + -3a = 15 + 3a + -3a Combine like terms: 3a + -3a = 0 45 + -3a = 15 + 0 45 + -3a = 15 Add '-45' to each side of the equation. 45 + -45 + -3a = 15 + -45 Combine like terms: 45 + -45 = 0 0 + -3a = 15 + -45 -3a = 15 + -45 Combine like terms: 15 + -45 = -30 -3a = -30 Divide each side by '-3'. a = 10 Simplifying a = 10
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