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Simplifying 5a + -11 = 3(a + 1) + 17a + 2 Reorder the terms: -11 + 5a = 3(a + 1) + 17a + 2 Reorder the terms: -11 + 5a = 3(1 + a) + 17a + 2 -11 + 5a = (1 * 3 + a * 3) + 17a + 2 -11 + 5a = (3 + 3a) + 17a + 2 Reorder the terms: -11 + 5a = 3 + 2 + 3a + 17a Combine like terms: 3 + 2 = 5 -11 + 5a = 5 + 3a + 17a Combine like terms: 3a + 17a = 20a -11 + 5a = 5 + 20a Solving -11 + 5a = 5 + 20a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-20a' to each side of the equation. -11 + 5a + -20a = 5 + 20a + -20a Combine like terms: 5a + -20a = -15a -11 + -15a = 5 + 20a + -20a Combine like terms: 20a + -20a = 0 -11 + -15a = 5 + 0 -11 + -15a = 5 Add '11' to each side of the equation. -11 + 11 + -15a = 5 + 11 Combine like terms: -11 + 11 = 0 0 + -15a = 5 + 11 -15a = 5 + 11 Combine like terms: 5 + 11 = 16 -15a = 16 Divide each side by '-15'. a = -1.066666667 Simplifying a = -1.066666667
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