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Simplifying 4(a + -2) + 3(2a + 1) = -1 Reorder the terms: 4(-2 + a) + 3(2a + 1) = -1 (-2 * 4 + a * 4) + 3(2a + 1) = -1 (-8 + 4a) + 3(2a + 1) = -1 Reorder the terms: -8 + 4a + 3(1 + 2a) = -1 -8 + 4a + (1 * 3 + 2a * 3) = -1 -8 + 4a + (3 + 6a) = -1 Reorder the terms: -8 + 3 + 4a + 6a = -1 Combine like terms: -8 + 3 = -5 -5 + 4a + 6a = -1 Combine like terms: 4a + 6a = 10a -5 + 10a = -1 Solving -5 + 10a = -1 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 10a = -1 + 5 Combine like terms: -5 + 5 = 0 0 + 10a = -1 + 5 10a = -1 + 5 Combine like terms: -1 + 5 = 4 10a = 4 Divide each side by '10'. a = 0.4 Simplifying a = 0.4
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