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Simplifying 3(a + -5) = 4(3 + -2a) Reorder the terms: 3(-5 + a) = 4(3 + -2a) (-5 * 3 + a * 3) = 4(3 + -2a) (-15 + 3a) = 4(3 + -2a) -15 + 3a = (3 * 4 + -2a * 4) -15 + 3a = (12 + -8a) Solving -15 + 3a = 12 + -8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '8a' to each side of the equation. -15 + 3a + 8a = 12 + -8a + 8a Combine like terms: 3a + 8a = 11a -15 + 11a = 12 + -8a + 8a Combine like terms: -8a + 8a = 0 -15 + 11a = 12 + 0 -15 + 11a = 12 Add '15' to each side of the equation. -15 + 15 + 11a = 12 + 15 Combine like terms: -15 + 15 = 0 0 + 11a = 12 + 15 11a = 12 + 15 Combine like terms: 12 + 15 = 27 11a = 27 Divide each side by '11'. a = 2.454545455 Simplifying a = 2.454545455
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