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Simplifying 3a + -11 = 3(a + 1) + 15a + 3 Reorder the terms: -11 + 3a = 3(a + 1) + 15a + 3 Reorder the terms: -11 + 3a = 3(1 + a) + 15a + 3 -11 + 3a = (1 * 3 + a * 3) + 15a + 3 -11 + 3a = (3 + 3a) + 15a + 3 Reorder the terms: -11 + 3a = 3 + 3 + 3a + 15a Combine like terms: 3 + 3 = 6 -11 + 3a = 6 + 3a + 15a Combine like terms: 3a + 15a = 18a -11 + 3a = 6 + 18a Solving -11 + 3a = 6 + 18a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-18a' to each side of the equation. -11 + 3a + -18a = 6 + 18a + -18a Combine like terms: 3a + -18a = -15a -11 + -15a = 6 + 18a + -18a Combine like terms: 18a + -18a = 0 -11 + -15a = 6 + 0 -11 + -15a = 6 Add '11' to each side of the equation. -11 + 11 + -15a = 6 + 11 Combine like terms: -11 + 11 = 0 0 + -15a = 6 + 11 -15a = 6 + 11 Combine like terms: 6 + 11 = 17 -15a = 17 Divide each side by '-15'. a = -1.133333333 Simplifying a = -1.133333333
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