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Simplifying 10(a + 8) = 7[a + -1(4 + -1a)] Reorder the terms: 10(8 + a) = 7[a + -1(4 + -1a)] (8 * 10 + a * 10) = 7[a + -1(4 + -1a)] (80 + 10a) = 7[a + -1(4 + -1a)] 80 + 10a = 7[a + (4 * -1 + -1a * -1)] 80 + 10a = 7[a + (-4 + 1a)] Reorder the terms: 80 + 10a = 7[-4 + a + 1a] Combine like terms: a + 1a = 2a 80 + 10a = 7[-4 + 2a] 80 + 10a = [-4 * 7 + 2a * 7] 80 + 10a = [-28 + 14a] Solving 80 + 10a = -28 + 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. 80 + 10a + -14a = -28 + 14a + -14a Combine like terms: 10a + -14a = -4a 80 + -4a = -28 + 14a + -14a Combine like terms: 14a + -14a = 0 80 + -4a = -28 + 0 80 + -4a = -28 Add '-80' to each side of the equation. 80 + -80 + -4a = -28 + -80 Combine like terms: 80 + -80 = 0 0 + -4a = -28 + -80 -4a = -28 + -80 Combine like terms: -28 + -80 = -108 -4a = -108 Divide each side by '-4'. a = 27 Simplifying a = 27
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