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Simplifying -4 + 5(a + 3) = -3(a + 2) Reorder the terms: -4 + 5(3 + a) = -3(a + 2) -4 + (3 * 5 + a * 5) = -3(a + 2) -4 + (15 + 5a) = -3(a + 2) Combine like terms: -4 + 15 = 11 11 + 5a = -3(a + 2) Reorder the terms: 11 + 5a = -3(2 + a) 11 + 5a = (2 * -3 + a * -3) 11 + 5a = (-6 + -3a) Solving 11 + 5a = -6 + -3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3a' to each side of the equation. 11 + 5a + 3a = -6 + -3a + 3a Combine like terms: 5a + 3a = 8a 11 + 8a = -6 + -3a + 3a Combine like terms: -3a + 3a = 0 11 + 8a = -6 + 0 11 + 8a = -6 Add '-11' to each side of the equation. 11 + -11 + 8a = -6 + -11 Combine like terms: 11 + -11 = 0 0 + 8a = -6 + -11 8a = -6 + -11 Combine like terms: -6 + -11 = -17 8a = -17 Divide each side by '8'. a = -2.125 Simplifying a = -2.125
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