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Simplifying -2(5a + -4) = -10 + -1a Reorder the terms: -2(-4 + 5a) = -10 + -1a (-4 * -2 + 5a * -2) = -10 + -1a (8 + -10a) = -10 + -1a Solving 8 + -10a = -10 + -1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'a' to each side of the equation. 8 + -10a + a = -10 + -1a + a Combine like terms: -10a + a = -9a 8 + -9a = -10 + -1a + a Combine like terms: -1a + a = 0 8 + -9a = -10 + 0 8 + -9a = -10 Add '-8' to each side of the equation. 8 + -8 + -9a = -10 + -8 Combine like terms: 8 + -8 = 0 0 + -9a = -10 + -8 -9a = -10 + -8 Combine like terms: -10 + -8 = -18 -9a = -18 Divide each side by '-9'. a = 2 Simplifying a = 2
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