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Simplifying 4 + -0.7(a + -1) = 0.6(8a + -1) Reorder the terms: 4 + -0.7(-1 + a) = 0.6(8a + -1) 4 + (-1 * -0.7 + a * -0.7) = 0.6(8a + -1) 4 + (0.7 + -0.7a) = 0.6(8a + -1) Combine like terms: 4 + 0.7 = 4.7 4.7 + -0.7a = 0.6(8a + -1) Reorder the terms: 4.7 + -0.7a = 0.6(-1 + 8a) 4.7 + -0.7a = (-1 * 0.6 + 8a * 0.6) 4.7 + -0.7a = (-0.6 + 4.8a) Solving 4.7 + -0.7a = -0.6 + 4.8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4.8a' to each side of the equation. 4.7 + -0.7a + -4.8a = -0.6 + 4.8a + -4.8a Combine like terms: -0.7a + -4.8a = -5.5a 4.7 + -5.5a = -0.6 + 4.8a + -4.8a Combine like terms: 4.8a + -4.8a = 0.0 4.7 + -5.5a = -0.6 + 0.0 4.7 + -5.5a = -0.6 Add '-4.7' to each side of the equation. 4.7 + -4.7 + -5.5a = -0.6 + -4.7 Combine like terms: 4.7 + -4.7 = 0.0 0.0 + -5.5a = -0.6 + -4.7 -5.5a = -0.6 + -4.7 Combine like terms: -0.6 + -4.7 = -5.3 -5.5a = -5.3 Divide each side by '-5.5'. a = 0.9636363636 Simplifying a = 0.9636363636
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