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Simplifying -17(-86a + -86) = 119(-7a + -142) Reorder the terms: -17(-86 + -86a) = 119(-7a + -142) (-86 * -17 + -86a * -17) = 119(-7a + -142) (1462 + 1462a) = 119(-7a + -142) Reorder the terms: 1462 + 1462a = 119(-142 + -7a) 1462 + 1462a = (-142 * 119 + -7a * 119) 1462 + 1462a = (-16898 + -833a) Solving 1462 + 1462a = -16898 + -833a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '833a' to each side of the equation. 1462 + 1462a + 833a = -16898 + -833a + 833a Combine like terms: 1462a + 833a = 2295a 1462 + 2295a = -16898 + -833a + 833a Combine like terms: -833a + 833a = 0 1462 + 2295a = -16898 + 0 1462 + 2295a = -16898 Add '-1462' to each side of the equation. 1462 + -1462 + 2295a = -16898 + -1462 Combine like terms: 1462 + -1462 = 0 0 + 2295a = -16898 + -1462 2295a = -16898 + -1462 Combine like terms: -16898 + -1462 = -18360 2295a = -18360 Divide each side by '2295'. a = -8 Simplifying a = -8
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