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Simplifying 3[3 + -5(a + -2)] = a + -9 Reorder the terms: 3[3 + -5(-2 + a)] = a + -9 3[3 + (-2 * -5 + a * -5)] = a + -9 3[3 + (10 + -5a)] = a + -9 Combine like terms: 3 + 10 = 13 3[13 + -5a] = a + -9 [13 * 3 + -5a * 3] = a + -9 [39 + -15a] = a + -9 Reorder the terms: 39 + -15a = -9 + a Solving 39 + -15a = -9 + a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. 39 + -15a + -1a = -9 + a + -1a Combine like terms: -15a + -1a = -16a 39 + -16a = -9 + a + -1a Combine like terms: a + -1a = 0 39 + -16a = -9 + 0 39 + -16a = -9 Add '-39' to each side of the equation. 39 + -39 + -16a = -9 + -39 Combine like terms: 39 + -39 = 0 0 + -16a = -9 + -39 -16a = -9 + -39 Combine like terms: -9 + -39 = -48 -16a = -48 Divide each side by '-16'. a = 3 Simplifying a = 3
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