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Simplifying 0.5(a + 4) = 0.25(a + -8) Reorder the terms: 0.5(4 + a) = 0.25(a + -8) (4 * 0.5 + a * 0.5) = 0.25(a + -8) (2 + 0.5a) = 0.25(a + -8) Reorder the terms: 2 + 0.5a = 0.25(-8 + a) 2 + 0.5a = (-8 * 0.25 + a * 0.25) 2 + 0.5a = (-2 + 0.25a) Solving 2 + 0.5a = -2 + 0.25a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-0.25a' to each side of the equation. 2 + 0.5a + -0.25a = -2 + 0.25a + -0.25a Combine like terms: 0.5a + -0.25a = 0.25a 2 + 0.25a = -2 + 0.25a + -0.25a Combine like terms: 0.25a + -0.25a = 0.00 2 + 0.25a = -2 + 0.00 2 + 0.25a = -2 Add '-2' to each side of the equation. 2 + -2 + 0.25a = -2 + -2 Combine like terms: 2 + -2 = 0 0 + 0.25a = -2 + -2 0.25a = -2 + -2 Combine like terms: -2 + -2 = -4 0.25a = -4 Divide each side by '0.25'. a = -16 Simplifying a = -16
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