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Simplifying 4(3a + -2) = 2(2a + 1) Reorder the terms: 4(-2 + 3a) = 2(2a + 1) (-2 * 4 + 3a * 4) = 2(2a + 1) (-8 + 12a) = 2(2a + 1) Reorder the terms: -8 + 12a = 2(1 + 2a) -8 + 12a = (1 * 2 + 2a * 2) -8 + 12a = (2 + 4a) Solving -8 + 12a = 2 + 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. -8 + 12a + -4a = 2 + 4a + -4a Combine like terms: 12a + -4a = 8a -8 + 8a = 2 + 4a + -4a Combine like terms: 4a + -4a = 0 -8 + 8a = 2 + 0 -8 + 8a = 2 Add '8' to each side of the equation. -8 + 8 + 8a = 2 + 8 Combine like terms: -8 + 8 = 0 0 + 8a = 2 + 8 8a = 2 + 8 Combine like terms: 2 + 8 = 10 8a = 10 Divide each side by '8'. a = 1.25 Simplifying a = 1.25
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