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Simplifying a + -1.5(a + 8) = 10 Reorder the terms: a + -1.5(8 + a) = 10 a + (8 * -1.5 + a * -1.5) = 10 a + (-12 + -1.5a) = 10 Reorder the terms: -12 + a + -1.5a = 10 Combine like terms: a + -1.5a = -0.5a -12 + -0.5a = 10 Solving -12 + -0.5a = 10 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -0.5a = 10 + 12 Combine like terms: -12 + 12 = 0 0 + -0.5a = 10 + 12 -0.5a = 10 + 12 Combine like terms: 10 + 12 = 22 -0.5a = 22 Divide each side by '-0.5'. a = -44 Simplifying a = -44
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