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Simplifying 2(3a + -5) = 4(a + 2) Reorder the terms: 2(-5 + 3a) = 4(a + 2) (-5 * 2 + 3a * 2) = 4(a + 2) (-10 + 6a) = 4(a + 2) Reorder the terms: -10 + 6a = 4(2 + a) -10 + 6a = (2 * 4 + a * 4) -10 + 6a = (8 + 4a) Solving -10 + 6a = 8 + 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 = 8 + 4a + -4a Combine like terms: 6a + -4a = 2a -10 + 2a = 8 + 4a + -4a Combine like terms: 4a + -4a = 0 -10 + 2a = 8 + 0 -10 + 2a = 8 Add '10' to each side of the equation. -10 + 10 + 2a = 8 + 10 Combine like terms: -10 + 10 = 0 0 + 2a = 8 + 10 2a = 8 + 10 Combine like terms: 8 + 10 = 18 2a = 18 Divide each side by '2'. a = 9 Simplifying a = 9
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