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Simplifying 33 = 7(1 + 2a) + -1a 33 = (1 * 7 + 2a * 7) + -1a 33 = (7 + 14a) + -1a Combine like terms: 14a + -1a = 13a 33 = 7 + 13a Solving 33 = 7 + 13a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-13a' to each side of the equation. 33 + -13a = 7 + 13a + -13a Combine like terms: 13a + -13a = 0 33 + -13a = 7 + 0 33 + -13a = 7 Add '-33' to each side of the equation. 33 + -33 + -13a = 7 + -33 Combine like terms: 33 + -33 = 0 0 + -13a = 7 + -33 -13a = 7 + -33 Combine like terms: 7 + -33 = -26 -13a = -26 Divide each side by '-13'. a = 2 Simplifying a = 2
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