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Simplifying 2 + -0.3(a + -10) = 0.8(8a + -10) Reorder the terms: 2 + -0.3(-10 + a) = 0.8(8a + -10) 2 + (-10 * -0.3 + a * -0.3) = 0.8(8a + -10) 2 + (3 + -0.3a) = 0.8(8a + -10) Combine like terms: 2 + 3 = 5 5 + -0.3a = 0.8(8a + -10) Reorder the terms: 5 + -0.3a = 0.8(-10 + 8a) 5 + -0.3a = (-10 * 0.8 + 8a * 0.8) 5 + -0.3a = (-8 + 6.4a) Solving 5 + -0.3a = -8 + 6.4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6.4a' to each side of the equation. 5 + -0.3a + -6.4a = -8 + 6.4a + -6.4a Combine like terms: -0.3a + -6.4a = -6.7a 5 + -6.7a = -8 + 6.4a + -6.4a Combine like terms: 6.4a + -6.4a = 0.0 5 + -6.7a = -8 + 0.0 5 + -6.7a = -8 Add '-5' to each side of the equation. 5 + -5 + -6.7a = -8 + -5 Combine like terms: 5 + -5 = 0 0 + -6.7a = -8 + -5 -6.7a = -8 + -5 Combine like terms: -8 + -5 = -13 -6.7a = -13 Divide each side by '-6.7'. a = 1.940298507 Simplifying a = 1.940298507
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