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Simplifying 33 + 7a = 5(a + 7) + a Reorder the terms: 33 + 7a = 5(7 + a) + a 33 + 7a = (7 * 5 + a * 5) + a 33 + 7a = (35 + 5a) + a Combine like terms: 5a + a = 6a 33 + 7a = 35 + 6a Solving 33 + 7a = 35 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. 33 + 7a + -6a = 35 + 6a + -6a Combine like terms: 7a + -6a = 1a 33 + 1a = 35 + 6a + -6a Combine like terms: 6a + -6a = 0 33 + 1a = 35 + 0 33 + 1a = 35 Add '-33' to each side of the equation. 33 + -33 + 1a = 35 + -33 Combine like terms: 33 + -33 = 0 0 + 1a = 35 + -33 1a = 35 + -33 Combine like terms: 35 + -33 = 2 1a = 2 Divide each side by '1'. a = 2 Simplifying a = 2
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