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Simplifying 3(a + -6) + 2a + -5 = 2(a + -9) + 4 Reorder the terms: 3(-6 + a) + 2a + -5 = 2(a + -9) + 4 (-6 * 3 + a * 3) + 2a + -5 = 2(a + -9) + 4 (-18 + 3a) + 2a + -5 = 2(a + -9) + 4 Reorder the terms: -18 + -5 + 3a + 2a = 2(a + -9) + 4 Combine like terms: -18 + -5 = -23 -23 + 3a + 2a = 2(a + -9) + 4 Combine like terms: 3a + 2a = 5a -23 + 5a = 2(a + -9) + 4 Reorder the terms: -23 + 5a = 2(-9 + a) + 4 -23 + 5a = (-9 * 2 + a * 2) + 4 -23 + 5a = (-18 + 2a) + 4 Reorder the terms: -23 + 5a = -18 + 4 + 2a Combine like terms: -18 + 4 = -14 -23 + 5a = -14 + 2a Solving -23 + 5a = -14 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. -23 + 5a + -2a = -14 + 2a + -2a Combine like terms: 5a + -2a = 3a -23 + 3a = -14 + 2a + -2a Combine like terms: 2a + -2a = 0 -23 + 3a = -14 + 0 -23 + 3a = -14 Add '23' to each side of the equation. -23 + 23 + 3a = -14 + 23 Combine like terms: -23 + 23 = 0 0 + 3a = -14 + 23 3a = -14 + 23 Combine like terms: -14 + 23 = 9 3a = 9 Divide each side by '3'. a = 3 Simplifying a = 3
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