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Simplifying -8(8 + -1a) = 0.8(a + 10) (8 * -8 + -1a * -8) = 0.8(a + 10) (-64 + 8a) = 0.8(a + 10) Reorder the terms: -64 + 8a = 0.8(10 + a) -64 + 8a = (10 * 0.8 + a * 0.8) -64 + 8a = (8 + 0.8a) Solving -64 + 8a = 8 + 0.8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-0.8a' to each side of the equation. -64 + 8a + -0.8a = 8 + 0.8a + -0.8a Combine like terms: 8a + -0.8a = 7.2a -64 + 7.2a = 8 + 0.8a + -0.8a Combine like terms: 0.8a + -0.8a = 0.0 -64 + 7.2a = 8 + 0.0 -64 + 7.2a = 8 Add '64' to each side of the equation. -64 + 64 + 7.2a = 8 + 64 Combine like terms: -64 + 64 = 0 0 + 7.2a = 8 + 64 7.2a = 8 + 64 Combine like terms: 8 + 64 = 72 7.2a = 72 Divide each side by '7.2'. a = 10 Simplifying a = 10
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