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Simplifying 7 + 2[a + 1] + -3a = 5a Reorder the terms: 7 + 2[1 + a] + -3a = 5a 7 + [1 * 2 + a * 2] + -3a = 5a 7 + [2 + 2a] + -3a = 5a Combine like terms: 7 + 2 = 9 9 + 2a + -3a = 5a Combine like terms: 2a + -3a = -1a 9 + -1a = 5a Solving 9 + -1a = 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. 9 + -1a + -5a = 5a + -5a Combine like terms: -1a + -5a = -6a 9 + -6a = 5a + -5a Combine like terms: 5a + -5a = 0 9 + -6a = 0 Add '-9' to each side of the equation. 9 + -9 + -6a = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -6a = 0 + -9 -6a = 0 + -9 Combine like terms: 0 + -9 = -9 -6a = -9 Divide each side by '-6'. a = 1.5 Simplifying a = 1.5
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