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Simplifying 8(3a + -4) = 4a + -2 Reorder the terms: 8(-4 + 3a) = 4a + -2 (-4 * 8 + 3a * 8) = 4a + -2 (-32 + 24a) = 4a + -2 Reorder the terms: -32 + 24a = -2 + 4a Solving -32 + 24a = -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. -32 + 24a + -4a = -2 + 4a + -4a Combine like terms: 24a + -4a = 20a -32 + 20a = -2 + 4a + -4a Combine like terms: 4a + -4a = 0 -32 + 20a = -2 + 0 -32 + 20a = -2 Add '32' to each side of the equation. -32 + 32 + 20a = -2 + 32 Combine like terms: -32 + 32 = 0 0 + 20a = -2 + 32 20a = -2 + 32 Combine like terms: -2 + 32 = 30 20a = 30 Divide each side by '20'. a = 1.5 Simplifying a = 1.5
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