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Simplifying -3a + 5(-1a + -4) = -35 + -5a Reorder the terms: -3a + 5(-4 + -1a) = -35 + -5a -3a + (-4 * 5 + -1a * 5) = -35 + -5a -3a + (-20 + -5a) = -35 + -5a Reorder the terms: -20 + -3a + -5a = -35 + -5a Combine like terms: -3a + -5a = -8a -20 + -8a = -35 + -5a Solving -20 + -8a = -35 + -5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '5a' to each side of the equation. -20 + -8a + 5a = -35 + -5a + 5a Combine like terms: -8a + 5a = -3a -20 + -3a = -35 + -5a + 5a Combine like terms: -5a + 5a = 0 -20 + -3a = -35 + 0 -20 + -3a = -35 Add '20' to each side of the equation. -20 + 20 + -3a = -35 + 20 Combine like terms: -20 + 20 = 0 0 + -3a = -35 + 20 -3a = -35 + 20 Combine like terms: -35 + 20 = -15 -3a = -15 Divide each side by '-3'. a = 5 Simplifying a = 5
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