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Simplifying -130 = 5(-2 + -3a) -130 = (-2 * 5 + -3a * 5) -130 = (-10 + -15a) Solving -130 = -10 + -15a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '15a' to each side of the equation. -130 + 15a = -10 + -15a + 15a Combine like terms: -15a + 15a = 0 -130 + 15a = -10 + 0 -130 + 15a = -10 Add '130' to each side of the equation. -130 + 130 + 15a = -10 + 130 Combine like terms: -130 + 130 = 0 0 + 15a = -10 + 130 15a = -10 + 130 Combine like terms: -10 + 130 = 120 15a = 120 Divide each side by '15'. a = 8 Simplifying a = 8
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