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Simplifying -119 = -7(5a + -3) Reorder the terms: -119 = -7(-3 + 5a) -119 = (-3 * -7 + 5a * -7) -119 = (21 + -35a) Solving -119 = 21 + -35a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '35a' to each side of the equation. -119 + 35a = 21 + -35a + 35a Combine like terms: -35a + 35a = 0 -119 + 35a = 21 + 0 -119 + 35a = 21 Add '119' to each side of the equation. -119 + 119 + 35a = 21 + 119 Combine like terms: -119 + 119 = 0 0 + 35a = 21 + 119 35a = 21 + 119 Combine like terms: 21 + 119 = 140 35a = 140 Divide each side by '35'. a = 4 Simplifying a = 4
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