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Simplifying 3a + -5 = 2(4a + -9) Reorder the terms: -5 + 3a = 2(4a + -9) Reorder the terms: -5 + 3a = 2(-9 + 4a) -5 + 3a = (-9 * 2 + 4a * 2) -5 + 3a = (-18 + 8a) Solving -5 + 3a = -18 + 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. -5 + 3a + -8a = -18 + 8a + -8a Combine like terms: 3a + -8a = -5a -5 + -5a = -18 + 8a + -8a Combine like terms: 8a + -8a = 0 -5 + -5a = -18 + 0 -5 + -5a = -18 Add '5' to each side of the equation. -5 + 5 + -5a = -18 + 5 Combine like terms: -5 + 5 = 0 0 + -5a = -18 + 5 -5a = -18 + 5 Combine like terms: -18 + 5 = -13 -5a = -13 Divide each side by '-5'. a = 2.6 Simplifying a = 2.6
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