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Simplifying 5(a + 3) = 2(a + -2) Reorder the terms: 5(3 + a) = 2(a + -2) (3 * 5 + a * 5) = 2(a + -2) (15 + 5a) = 2(a + -2) Reorder the terms: 15 + 5a = 2(-2 + a) 15 + 5a = (-2 * 2 + a * 2) 15 + 5a = (-4 + 2a) Solving 15 + 5a = -4 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. 15 + 5a + -2a = -4 + 2a + -2a Combine like terms: 5a + -2a = 3a 15 + 3a = -4 + 2a + -2a Combine like terms: 2a + -2a = 0 15 + 3a = -4 + 0 15 + 3a = -4 Add '-15' to each side of the equation. 15 + -15 + 3a = -4 + -15 Combine like terms: 15 + -15 = 0 0 + 3a = -4 + -15 3a = -4 + -15 Combine like terms: -4 + -15 = -19 3a = -19 Divide each side by '3'. a = -6.333333333 Simplifying a = -6.333333333
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