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Simplifying (2 + a) * 30 = 45(a) Reorder the terms for easier multiplication: 30(2 + a) = 45(a) (2 * 30 + a * 30) = 45(a) (60 + 30a) = 45(a) Solving 60 + 30a = 45a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-45a' to each side of the equation. 60 + 30a + -45a = 45a + -45a Combine like terms: 30a + -45a = -15a 60 + -15a = 45a + -45a Combine like terms: 45a + -45a = 0 60 + -15a = 0 Add '-60' to each side of the equation. 60 + -60 + -15a = 0 + -60 Combine like terms: 60 + -60 = 0 0 + -15a = 0 + -60 -15a = 0 + -60 Combine like terms: 0 + -60 = -60 -15a = -60 Divide each side by '-15'. a = 4 Simplifying a = 4
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