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Simplifying 8a + -3 = 5(a + 6) Reorder the terms: -3 + 8a = 5(a + 6) Reorder the terms: -3 + 8a = 5(6 + a) -3 + 8a = (6 * 5 + a * 5) -3 + 8a = (30 + 5a) Solving -3 + 8a = 30 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. -3 + 8a + -5a = 30 + 5a + -5a Combine like terms: 8a + -5a = 3a -3 + 3a = 30 + 5a + -5a Combine like terms: 5a + -5a = 0 -3 + 3a = 30 + 0 -3 + 3a = 30 Add '3' to each side of the equation. -3 + 3 + 3a = 30 + 3 Combine like terms: -3 + 3 = 0 0 + 3a = 30 + 3 3a = 30 + 3 Combine like terms: 30 + 3 = 33 3a = 33 Divide each side by '3'. a = 11 Simplifying a = 11
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