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Simplifying 8(a + -2) = 3(a + 3) Reorder the terms: 8(-2 + a) = 3(a + 3) (-2 * 8 + a * 8) = 3(a + 3) (-16 + 8a) = 3(a + 3) Reorder the terms: -16 + 8a = 3(3 + a) -16 + 8a = (3 * 3 + a * 3) -16 + 8a = (9 + 3a) Solving -16 + 8a = 9 + 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. -16 + 8a + -3a = 9 + 3a + -3a Combine like terms: 8a + -3a = 5a -16 + 5a = 9 + 3a + -3a Combine like terms: 3a + -3a = 0 -16 + 5a = 9 + 0 -16 + 5a = 9 Add '16' to each side of the equation. -16 + 16 + 5a = 9 + 16 Combine like terms: -16 + 16 = 0 0 + 5a = 9 + 16 5a = 9 + 16 Combine like terms: 9 + 16 = 25 5a = 25 Divide each side by '5'. a = 5 Simplifying a = 5
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