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Simplifying 4(a + 5) + -3 = 6a + -13 Reorder the terms: 4(5 + a) + -3 = 6a + -13 (5 * 4 + a * 4) + -3 = 6a + -13 (20 + 4a) + -3 = 6a + -13 Reorder the terms: 20 + -3 + 4a = 6a + -13 Combine like terms: 20 + -3 = 17 17 + 4a = 6a + -13 Reorder the terms: 17 + 4a = -13 + 6a Solving 17 + 4a = -13 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. 17 + 4a + -6a = -13 + 6a + -6a Combine like terms: 4a + -6a = -2a 17 + -2a = -13 + 6a + -6a Combine like terms: 6a + -6a = 0 17 + -2a = -13 + 0 17 + -2a = -13 Add '-17' to each side of the equation. 17 + -17 + -2a = -13 + -17 Combine like terms: 17 + -17 = 0 0 + -2a = -13 + -17 -2a = -13 + -17 Combine like terms: -13 + -17 = -30 -2a = -30 Divide each side by '-2'. a = 15 Simplifying a = 15
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