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Simplifying 4(a + 2) = 7[a + -1(1 + -1a)] Reorder the terms: 4(2 + a) = 7[a + -1(1 + -1a)] (2 * 4 + a * 4) = 7[a + -1(1 + -1a)] (8 + 4a) = 7[a + -1(1 + -1a)] 8 + 4a = 7[a + (1 * -1 + -1a * -1)] 8 + 4a = 7[a + (-1 + 1a)] Reorder the terms: 8 + 4a = 7[-1 + a + 1a] Combine like terms: a + 1a = 2a 8 + 4a = 7[-1 + 2a] 8 + 4a = [-1 * 7 + 2a * 7] 8 + 4a = [-7 + 14a] Solving 8 + 4a = -7 + 14a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-14a' to each side of the equation. 8 + 4a + -14a = -7 + 14a + -14a Combine like terms: 4a + -14a = -10a 8 + -10a = -7 + 14a + -14a Combine like terms: 14a + -14a = 0 8 + -10a = -7 + 0 8 + -10a = -7 Add '-8' to each side of the equation. 8 + -8 + -10a = -7 + -8 Combine like terms: 8 + -8 = 0 0 + -10a = -7 + -8 -10a = -7 + -8 Combine like terms: -7 + -8 = -15 -10a = -15 Divide each side by '-10'. a = 1.5 Simplifying a = 1.5
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