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Simplifying 4a + 17 = 7(a + 2) Reorder the terms: 17 + 4a = 7(a + 2) Reorder the terms: 17 + 4a = 7(2 + a) 17 + 4a = (2 * 7 + a * 7) 17 + 4a = (14 + 7a) Solving 17 + 4a = 14 + 7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. 17 + 4a + -7a = 14 + 7a + -7a Combine like terms: 4a + -7a = -3a 17 + -3a = 14 + 7a + -7a Combine like terms: 7a + -7a = 0 17 + -3a = 14 + 0 17 + -3a = 14 Add '-17' to each side of the equation. 17 + -17 + -3a = 14 + -17 Combine like terms: 17 + -17 = 0 0 + -3a = 14 + -17 -3a = 14 + -17 Combine like terms: 14 + -17 = -3 -3a = -3 Divide each side by '-3'. a = 1 Simplifying a = 1
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