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Simplifying 15a + -1(8 + -1a) = 4a + -10 15a + (8 * -1 + -1a * -1) = 4a + -10 15a + (-8 + 1a) = 4a + -10 Reorder the terms: -8 + 15a + 1a = 4a + -10 Combine like terms: 15a + 1a = 16a -8 + 16a = 4a + -10 Reorder the terms: -8 + 16a = -10 + 4a Solving -8 + 16a = -10 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. -8 + 16a + -4a = -10 + 4a + -4a Combine like terms: 16a + -4a = 12a -8 + 12a = -10 + 4a + -4a Combine like terms: 4a + -4a = 0 -8 + 12a = -10 + 0 -8 + 12a = -10 Add '8' to each side of the equation. -8 + 8 + 12a = -10 + 8 Combine like terms: -8 + 8 = 0 0 + 12a = -10 + 8 12a = -10 + 8 Combine like terms: -10 + 8 = -2 12a = -2 Divide each side by '12'. a = -0.1666666667 Simplifying a = -0.1666666667
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