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Simplifying -45 = 5(2a + 3) Reorder the terms: -45 = 5(3 + 2a) -45 = (3 * 5 + 2a * 5) -45 = (15 + 10a) Solving -45 = 15 + 10a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10a' to each side of the equation. -45 + -10a = 15 + 10a + -10a Combine like terms: 10a + -10a = 0 -45 + -10a = 15 + 0 -45 + -10a = 15 Add '45' to each side of the equation. -45 + 45 + -10a = 15 + 45 Combine like terms: -45 + 45 = 0 0 + -10a = 15 + 45 -10a = 15 + 45 Combine like terms: 15 + 45 = 60 -10a = 60 Divide each side by '-10'. a = -6 Simplifying a = -6
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