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Simplifying 5(a + -15) = 3a + -6 Reorder the terms: 5(-15 + a) = 3a + -6 (-15 * 5 + a * 5) = 3a + -6 (-75 + 5a) = 3a + -6 Reorder the terms: -75 + 5a = -6 + 3a Solving -75 + 5a = -6 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. -75 + 5a + -3a = -6 + 3a + -3a Combine like terms: 5a + -3a = 2a -75 + 2a = -6 + 3a + -3a Combine like terms: 3a + -3a = 0 -75 + 2a = -6 + 0 -75 + 2a = -6 Add '75' to each side of the equation. -75 + 75 + 2a = -6 + 75 Combine like terms: -75 + 75 = 0 0 + 2a = -6 + 75 2a = -6 + 75 Combine like terms: -6 + 75 = 69 2a = 69 Divide each side by '2'. a = 34.5 Simplifying a = 34.5
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