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Simplifying 2 + -1(3a + 5) = 4(a + 4) Reorder the terms: 2 + -1(5 + 3a) = 4(a + 4) 2 + (5 * -1 + 3a * -1) = 4(a + 4) 2 + (-5 + -3a) = 4(a + 4) Combine like terms: 2 + -5 = -3 -3 + -3a = 4(a + 4) Reorder the terms: -3 + -3a = 4(4 + a) -3 + -3a = (4 * 4 + a * 4) -3 + -3a = (16 + 4a) Solving -3 + -3a = 16 + 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. -3 + -3a + -4a = 16 + 4a + -4a Combine like terms: -3a + -4a = -7a -3 + -7a = 16 + 4a + -4a Combine like terms: 4a + -4a = 0 -3 + -7a = 16 + 0 -3 + -7a = 16 Add '3' to each side of the equation. -3 + 3 + -7a = 16 + 3 Combine like terms: -3 + 3 = 0 0 + -7a = 16 + 3 -7a = 16 + 3 Combine like terms: 16 + 3 = 19 -7a = 19 Divide each side by '-7'. a = -2.714285714 Simplifying a = -2.714285714
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