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Simplifying 5(2a + -3) = 3(9 + -19) Reorder the terms: 5(-3 + 2a) = 3(9 + -19) (-3 * 5 + 2a * 5) = 3(9 + -19) (-15 + 10a) = 3(9 + -19) Combine like terms: 9 + -19 = -10 -15 + 10a = 3(-10) Multiply 3 * -10 -15 + 10a = -30 Solving -15 + 10a = -30 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 10a = -30 + 15 Combine like terms: -15 + 15 = 0 0 + 10a = -30 + 15 10a = -30 + 15 Combine like terms: -30 + 15 = -15 10a = -15 Divide each side by '10'. a = -1.5 Simplifying a = -1.5
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