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Simplifying 4(2a + -1) = 32 + -3(2a + -2) Reorder the terms: 4(-1 + 2a) = 32 + -3(2a + -2) (-1 * 4 + 2a * 4) = 32 + -3(2a + -2) (-4 + 8a) = 32 + -3(2a + -2) Reorder the terms: -4 + 8a = 32 + -3(-2 + 2a) -4 + 8a = 32 + (-2 * -3 + 2a * -3) -4 + 8a = 32 + (6 + -6a) Combine like terms: 32 + 6 = 38 -4 + 8a = 38 + -6a Solving -4 + 8a = 38 + -6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '6a' to each side of the equation. -4 + 8a + 6a = 38 + -6a + 6a Combine like terms: 8a + 6a = 14a -4 + 14a = 38 + -6a + 6a Combine like terms: -6a + 6a = 0 -4 + 14a = 38 + 0 -4 + 14a = 38 Add '4' to each side of the equation. -4 + 4 + 14a = 38 + 4 Combine like terms: -4 + 4 = 0 0 + 14a = 38 + 4 14a = 38 + 4 Combine like terms: 38 + 4 = 42 14a = 42 Divide each side by '14'. a = 3 Simplifying a = 3
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