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Simplifying -4 = 0.5(6a + -2) + -4a Reorder the terms: -4 = 0.5(-2 + 6a) + -4a -4 = (-2 * 0.5 + 6a * 0.5) + -4a -4 = (-1 + 3a) + -4a Combine like terms: 3a + -4a = -1a -4 = -1 + -1a Solving -4 = -1 + -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. -4 + a = -1 + -1a + a Combine like terms: -1a + a = 0 -4 + a = -1 + 0 -4 + a = -1 Add '4' to each side of the equation. -4 + 4 + a = -1 + 4 Combine like terms: -4 + 4 = 0 0 + a = -1 + 4 a = -1 + 4 Combine like terms: -1 + 4 = 3 a = 3 Simplifying a = 3
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