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Simplifying 2(5a + -13) = 6(-2a + 3) Reorder the terms: 2(-13 + 5a) = 6(-2a + 3) (-13 * 2 + 5a * 2) = 6(-2a + 3) (-26 + 10a) = 6(-2a + 3) Reorder the terms: -26 + 10a = 6(3 + -2a) -26 + 10a = (3 * 6 + -2a * 6) -26 + 10a = (18 + -12a) Solving -26 + 10a = 18 + -12a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '12a' to each side of the equation. -26 + 10a + 12a = 18 + -12a + 12a Combine like terms: 10a + 12a = 22a -26 + 22a = 18 + -12a + 12a Combine like terms: -12a + 12a = 0 -26 + 22a = 18 + 0 -26 + 22a = 18 Add '26' to each side of the equation. -26 + 26 + 22a = 18 + 26 Combine like terms: -26 + 26 = 0 0 + 22a = 18 + 26 22a = 18 + 26 Combine like terms: 18 + 26 = 44 22a = 44 Divide each side by '22'. a = 2 Simplifying a = 2
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