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Simplifying -11(a + -10) = 8(a + -10) Reorder the terms: -11(-10 + a) = 8(a + -10) (-10 * -11 + a * -11) = 8(a + -10) (110 + -11a) = 8(a + -10) Reorder the terms: 110 + -11a = 8(-10 + a) 110 + -11a = (-10 * 8 + a * 8) 110 + -11a = (-80 + 8a) Solving 110 + -11a = -80 + 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. 110 + -11a + -8a = -80 + 8a + -8a Combine like terms: -11a + -8a = -19a 110 + -19a = -80 + 8a + -8a Combine like terms: 8a + -8a = 0 110 + -19a = -80 + 0 110 + -19a = -80 Add '-110' to each side of the equation. 110 + -110 + -19a = -80 + -110 Combine like terms: 110 + -110 = 0 0 + -19a = -80 + -110 -19a = -80 + -110 Combine like terms: -80 + -110 = -190 -19a = -190 Divide each side by '-19'. a = 10 Simplifying a = 10
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