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Simplifying 7(a + 1) = 2[a + -1(3 + -7)] Reorder the terms: 7(1 + a) = 2[a + -1(3 + -7)] (1 * 7 + a * 7) = 2[a + -1(3 + -7)] (7 + 7a) = 2[a + -1(3 + -7)] Combine like terms: 3 + -7 = -4 7 + 7a = 2[a + -1(-4)] Multiply -1 * -4 7 + 7a = 2[a + 4] Reorder the terms: 7 + 7a = 2[4 + a] 7 + 7a = [4 * 2 + a * 2] 7 + 7a = [8 + 2a] Solving 7 + 7a = 8 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. 7 + 7a + -2a = 8 + 2a + -2a Combine like terms: 7a + -2a = 5a 7 + 5a = 8 + 2a + -2a Combine like terms: 2a + -2a = 0 7 + 5a = 8 + 0 7 + 5a = 8 Add '-7' to each side of the equation. 7 + -7 + 5a = 8 + -7 Combine like terms: 7 + -7 = 0 0 + 5a = 8 + -7 5a = 8 + -7 Combine like terms: 8 + -7 = 1 5a = 1 Divide each side by '5'. a = 0.2 Simplifying a = 0.2
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