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Simplifying 5(a + -4) = 3a + -1(7 + -1a) Reorder the terms: 5(-4 + a) = 3a + -1(7 + -1a) (-4 * 5 + a * 5) = 3a + -1(7 + -1a) (-20 + 5a) = 3a + -1(7 + -1a) -20 + 5a = 3a + (7 * -1 + -1a * -1) -20 + 5a = 3a + (-7 + 1a) Reorder the terms: -20 + 5a = -7 + 3a + 1a Combine like terms: 3a + 1a = 4a -20 + 5a = -7 + 4a Solving -20 + 5a = -7 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. -20 + 5a + -4a = -7 + 4a + -4a Combine like terms: 5a + -4a = 1a -20 + 1a = -7 + 4a + -4a Combine like terms: 4a + -4a = 0 -20 + 1a = -7 + 0 -20 + 1a = -7 Add '20' to each side of the equation. -20 + 20 + 1a = -7 + 20 Combine like terms: -20 + 20 = 0 0 + 1a = -7 + 20 1a = -7 + 20 Combine like terms: -7 + 20 = 13 1a = 13 Divide each side by '1'. a = 13 Simplifying a = 13
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