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Simplifying 2(3a + -5) = 4(5 + -1a) + 6 Reorder the terms: 2(-5 + 3a) = 4(5 + -1a) + 6 (-5 * 2 + 3a * 2) = 4(5 + -1a) + 6 (-10 + 6a) = 4(5 + -1a) + 6 -10 + 6a = (5 * 4 + -1a * 4) + 6 -10 + 6a = (20 + -4a) + 6 Reorder the terms: -10 + 6a = 20 + 6 + -4a Combine like terms: 20 + 6 = 26 -10 + 6a = 26 + -4a Solving -10 + 6a = 26 + -4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4a' to each side of the equation. -10 + 6a + 4a = 26 + -4a + 4a Combine like terms: 6a + 4a = 10a -10 + 10a = 26 + -4a + 4a Combine like terms: -4a + 4a = 0 -10 + 10a = 26 + 0 -10 + 10a = 26 Add '10' to each side of the equation. -10 + 10 + 10a = 26 + 10 Combine like terms: -10 + 10 = 0 0 + 10a = 26 + 10 10a = 26 + 10 Combine like terms: 26 + 10 = 36 10a = 36 Divide each side by '10'. a = 3.6 Simplifying a = 3.6
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