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Simplifying 3(a + 5) = 2(3a + -4) Reorder the terms: 3(5 + a) = 2(3a + -4) (5 * 3 + a * 3) = 2(3a + -4) (15 + 3a) = 2(3a + -4) Reorder the terms: 15 + 3a = 2(-4 + 3a) 15 + 3a = (-4 * 2 + 3a * 2) 15 + 3a = (-8 + 6a) Solving 15 + 3a = -8 + 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. 15 + 3a + -6a = -8 + 6a + -6a Combine like terms: 3a + -6a = -3a 15 + -3a = -8 + 6a + -6a Combine like terms: 6a + -6a = 0 15 + -3a = -8 + 0 15 + -3a = -8 Add '-15' to each side of the equation. 15 + -15 + -3a = -8 + -15 Combine like terms: 15 + -15 = 0 0 + -3a = -8 + -15 -3a = -8 + -15 Combine like terms: -8 + -15 = -23 -3a = -23 Divide each side by '-3'. a = 7.666666667 Simplifying a = 7.666666667
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