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Simplifying -0.3a + -1(0.5a + 8) = 8a + 12 Reorder the terms: -0.3a + -1(8 + 0.5a) = 8a + 12 -0.3a + (8 * -1 + 0.5a * -1) = 8a + 12 -0.3a + (-8 + -0.5a) = 8a + 12 Reorder the terms: -8 + -0.3a + -0.5a = 8a + 12 Combine like terms: -0.3a + -0.5a = -0.8a -8 + -0.8a = 8a + 12 Reorder the terms: -8 + -0.8a = 12 + 8a Solving -8 + -0.8a = 12 + 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. -8 + -0.8a + -8a = 12 + 8a + -8a Combine like terms: -0.8a + -8a = -8.8a -8 + -8.8a = 12 + 8a + -8a Combine like terms: 8a + -8a = 0 -8 + -8.8a = 12 + 0 -8 + -8.8a = 12 Add '8' to each side of the equation. -8 + 8 + -8.8a = 12 + 8 Combine like terms: -8 + 8 = 0 0 + -8.8a = 12 + 8 -8.8a = 12 + 8 Combine like terms: 12 + 8 = 20 -8.8a = 20 Divide each side by '-8.8'. a = -2.272727273 Simplifying a = -2.272727273
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