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Simplifying -5(a + 4) = -2a + -35 Reorder the terms: -5(4 + a) = -2a + -35 (4 * -5 + a * -5) = -2a + -35 (-20 + -5a) = -2a + -35 Reorder the terms: -20 + -5a = -35 + -2a Solving -20 + -5a = -35 + -2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2a' to each side of the equation. -20 + -5a + 2a = -35 + -2a + 2a Combine like terms: -5a + 2a = -3a -20 + -3a = -35 + -2a + 2a Combine like terms: -2a + 2a = 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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