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Simplifying 5 + 3(a + 2) = 4(a + -5) Reorder the terms: 5 + 3(2 + a) = 4(a + -5) 5 + (2 * 3 + a * 3) = 4(a + -5) 5 + (6 + 3a) = 4(a + -5) Combine like terms: 5 + 6 = 11 11 + 3a = 4(a + -5) Reorder the terms: 11 + 3a = 4(-5 + a) 11 + 3a = (-5 * 4 + a * 4) 11 + 3a = (-20 + 4a) Solving 11 + 3a = -20 + 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. 11 + 3a + -4a = -20 + 4a + -4a Combine like terms: 3a + -4a = -1a 11 + -1a = -20 + 4a + -4a Combine like terms: 4a + -4a = 0 11 + -1a = -20 + 0 11 + -1a = -20 Add '-11' to each side of the equation. 11 + -11 + -1a = -20 + -11 Combine like terms: 11 + -11 = 0 0 + -1a = -20 + -11 -1a = -20 + -11 Combine like terms: -20 + -11 = -31 -1a = -31 Divide each side by '-1'. a = 31 Simplifying a = 31
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