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Simplifying 8(a + -3) = 3(5 + a) Reorder the terms: 8(-3 + a) = 3(5 + a) (-3 * 8 + a * 8) = 3(5 + a) (-24 + 8a) = 3(5 + a) -24 + 8a = (5 * 3 + a * 3) -24 + 8a = (15 + 3a) Solving -24 + 8a = 15 + 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. -24 + 8a + -3a = 15 + 3a + -3a Combine like terms: 8a + -3a = 5a -24 + 5a = 15 + 3a + -3a Combine like terms: 3a + -3a = 0 -24 + 5a = 15 + 0 -24 + 5a = 15 Add '24' to each side of the equation. -24 + 24 + 5a = 15 + 24 Combine like terms: -24 + 24 = 0 0 + 5a = 15 + 24 5a = 15 + 24 Combine like terms: 15 + 24 = 39 5a = 39 Divide each side by '5'. a = 7.8 Simplifying a = 7.8
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