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Simplifying 4 + 8a = 0.750a + -0.250(3a + -4) Reorder the terms: 4 + 8a = 0.750a + -0.250(-4 + 3a) 4 + 8a = 0.750a + (-4 * -0.250 + 3a * -0.250) 4 + 8a = 0.750a + (1 + -0.75a) Reorder the terms: 4 + 8a = 1 + 0.750a + -0.75a Combine like terms: 0.750a + -0.75a = 0.000 4 + 8a = 1 + 0.000 4 + 8a = 1 Solving 4 + 8a = 1 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 8a = 1 + -4 Combine like terms: 4 + -4 = 0 0 + 8a = 1 + -4 8a = 1 + -4 Combine like terms: 1 + -4 = -3 8a = -3 Divide each side by '8'. a = -0.375 Simplifying a = -0.375
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