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Simplifying -45 = 5(a + -3) Reorder the terms: -45 = 5(-3 + a) -45 = (-3 * 5 + a * 5) -45 = (-15 + 5a) Solving -45 = -15 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. -45 + -5a = -15 + 5a + -5a Combine like terms: 5a + -5a = 0 -45 + -5a = -15 + 0 -45 + -5a = -15 Add '45' to each side of the equation. -45 + 45 + -5a = -15 + 45 Combine like terms: -45 + 45 = 0 0 + -5a = -15 + 45 -5a = -15 + 45 Combine like terms: -15 + 45 = 30 -5a = 30 Divide each side by '-5'. a = -6 Simplifying a = -6
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