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Simplifying 2(3a + -4) = 5(a + 6) Reorder the terms: 2(-4 + 3a) = 5(a + 6) (-4 * 2 + 3a * 2) = 5(a + 6) (-8 + 6a) = 5(a + 6) Reorder the terms: -8 + 6a = 5(6 + a) -8 + 6a = (6 * 5 + a * 5) -8 + 6a = (30 + 5a) Solving -8 + 6a = 30 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. -8 + 6a + -5a = 30 + 5a + -5a Combine like terms: 6a + -5a = 1a -8 + 1a = 30 + 5a + -5a Combine like terms: 5a + -5a = 0 -8 + 1a = 30 + 0 -8 + 1a = 30 Add '8' to each side of the equation. -8 + 8 + 1a = 30 + 8 Combine like terms: -8 + 8 = 0 0 + 1a = 30 + 8 1a = 30 + 8 Combine like terms: 30 + 8 = 38 1a = 38 Divide each side by '1'. a = 38 Simplifying a = 38
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