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Simplifying 5[a + -1(3 + -3a) + -3] = a + -11 5[a + (3 * -1 + -3a * -1) + -3] = a + -11 5[a + (-3 + 3a) + -3] = a + -11 Reorder the terms: 5[-3 + -3 + a + 3a] = a + -11 Combine like terms: -3 + -3 = -6 5[-6 + a + 3a] = a + -11 Combine like terms: a + 3a = 4a 5[-6 + 4a] = a + -11 [-6 * 5 + 4a * 5] = a + -11 [-30 + 20a] = a + -11 Reorder the terms: -30 + 20a = -11 + a Solving -30 + 20a = -11 + 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. -30 + 20a + -1a = -11 + a + -1a Combine like terms: 20a + -1a = 19a -30 + 19a = -11 + a + -1a Combine like terms: a + -1a = 0 -30 + 19a = -11 + 0 -30 + 19a = -11 Add '30' to each side of the equation. -30 + 30 + 19a = -11 + 30 Combine like terms: -30 + 30 = 0 0 + 19a = -11 + 30 19a = -11 + 30 Combine like terms: -11 + 30 = 19 19a = 19 Divide each side by '19'. a = 1 Simplifying a = 1
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