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Simplifying 0.25(8a + -4) = a + 8 + -2a Reorder the terms: 0.25(-4 + 8a) = a + 8 + -2a (-4 * 0.25 + 8a * 0.25) = a + 8 + -2a (-1 + 2a) = a + 8 + -2a Reorder the terms: -1 + 2a = 8 + a + -2a Combine like terms: a + -2a = -1a -1 + 2a = 8 + -1a Solving -1 + 2a = 8 + -1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'a' to each side of the equation. -1 + 2a + a = 8 + -1a + a Combine like terms: 2a + a = 3a -1 + 3a = 8 + -1a + a Combine like terms: -1a + a = 0 -1 + 3a = 8 + 0 -1 + 3a = 8 Add '1' to each side of the equation. -1 + 1 + 3a = 8 + 1 Combine like terms: -1 + 1 = 0 0 + 3a = 8 + 1 3a = 8 + 1 Combine like terms: 8 + 1 = 9 3a = 9 Divide each side by '3'. a = 3 Simplifying a = 3
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