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Simplifying 29 = 5(2a + 1) + 2a Reorder the terms: 29 = 5(1 + 2a) + 2a 29 = (1 * 5 + 2a * 5) + 2a 29 = (5 + 10a) + 2a Combine like terms: 10a + 2a = 12a 29 = 5 + 12a Solving 29 = 5 + 12a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12a' to each side of the equation. 29 + -12a = 5 + 12a + -12a Combine like terms: 12a + -12a = 0 29 + -12a = 5 + 0 29 + -12a = 5 Add '-29' to each side of the equation. 29 + -29 + -12a = 5 + -29 Combine like terms: 29 + -29 = 0 0 + -12a = 5 + -29 -12a = 5 + -29 Combine like terms: 5 + -29 = -24 -12a = -24 Divide each side by '-12'. a = 2 Simplifying a = 2
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