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Simplifying 4a + 17 = 5(1 + 2a) Reorder the terms: 17 + 4a = 5(1 + 2a) 17 + 4a = (1 * 5 + 2a * 5) 17 + 4a = (5 + 10a) Solving 17 + 4a = 5 + 10a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10a' to each side of the equation. 17 + 4a + -10a = 5 + 10a + -10a Combine like terms: 4a + -10a = -6a 17 + -6a = 5 + 10a + -10a Combine like terms: 10a + -10a = 0 17 + -6a = 5 + 0 17 + -6a = 5 Add '-17' to each side of the equation. 17 + -17 + -6a = 5 + -17 Combine like terms: 17 + -17 = 0 0 + -6a = 5 + -17 -6a = 5 + -17 Combine like terms: 5 + -17 = -12 -6a = -12 Divide each side by '-6'. a = 2 Simplifying a = 2
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