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Simplifying 4a + 17 = 11(a + 2) Reorder the terms: 17 + 4a = 11(a + 2) Reorder the terms: 17 + 4a = 11(2 + a) 17 + 4a = (2 * 11 + a * 11) 17 + 4a = (22 + 11a) Solving 17 + 4a = 22 + 11a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-11a' to each side of the equation. 17 + 4a + -11a = 22 + 11a + -11a Combine like terms: 4a + -11a = -7a 17 + -7a = 22 + 11a + -11a Combine like terms: 11a + -11a = 0 17 + -7a = 22 + 0 17 + -7a = 22 Add '-17' to each side of the equation. 17 + -17 + -7a = 22 + -17 Combine like terms: 17 + -17 = 0 0 + -7a = 22 + -17 -7a = 22 + -17 Combine like terms: 22 + -17 = 5 -7a = 5 Divide each side by '-7'. a = -0.7142857143 Simplifying a = -0.7142857143
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