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Simplifying 5(a + 3) + 4 = a + -1 Reorder the terms: 5(3 + a) + 4 = a + -1 (3 * 5 + a * 5) + 4 = a + -1 (15 + 5a) + 4 = a + -1 Reorder the terms: 15 + 4 + 5a = a + -1 Combine like terms: 15 + 4 = 19 19 + 5a = a + -1 Reorder the terms: 19 + 5a = -1 + a Solving 19 + 5a = -1 + a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. 19 + 5a + -1a = -1 + a + -1a Combine like terms: 5a + -1a = 4a 19 + 4a = -1 + a + -1a Combine like terms: a + -1a = 0 19 + 4a = -1 + 0 19 + 4a = -1 Add '-19' to each side of the equation. 19 + -19 + 4a = -1 + -19 Combine like terms: 19 + -19 = 0 0 + 4a = -1 + -19 4a = -1 + -19 Combine like terms: -1 + -19 = -20 4a = -20 Divide each side by '4'. a = -5 Simplifying a = -5
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