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Simplifying 7 = a(1 + -2) + 3 Combine like terms: 1 + -2 = -1 7 = a(-1) + 3 Reorder the terms for easier multiplication: 7 = -1a + 3 Reorder the terms: 7 = 3 + -1a Solving 7 = 3 + -1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'a' to each side of the equation. 7 + a = 3 + -1a + a Combine like terms: -1a + a = 0 7 + a = 3 + 0 7 + a = 3 Add '-7' to each side of the equation. 7 + -7 + a = 3 + -7 Combine like terms: 7 + -7 = 0 0 + a = 3 + -7 a = 3 + -7 Combine like terms: 3 + -7 = -4 a = -4 Simplifying a = -4
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