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Simplifying 10(a + 6) = 2[a + -1(4 + -1a)] Reorder the terms: 10(6 + a) = 2[a + -1(4 + -1a)] (6 * 10 + a * 10) = 2[a + -1(4 + -1a)] (60 + 10a) = 2[a + -1(4 + -1a)] 60 + 10a = 2[a + (4 * -1 + -1a * -1)] 60 + 10a = 2[a + (-4 + 1a)] Reorder the terms: 60 + 10a = 2[-4 + a + 1a] Combine like terms: a + 1a = 2a 60 + 10a = 2[-4 + 2a] 60 + 10a = [-4 * 2 + 2a * 2] 60 + 10a = [-8 + 4a] Solving 60 + 10a = -8 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. 60 + 10a + -4a = -8 + 4a + -4a Combine like terms: 10a + -4a = 6a 60 + 6a = -8 + 4a + -4a Combine like terms: 4a + -4a = 0 60 + 6a = -8 + 0 60 + 6a = -8 Add '-60' to each side of the equation. 60 + -60 + 6a = -8 + -60 Combine like terms: 60 + -60 = 0 0 + 6a = -8 + -60 6a = -8 + -60 Combine like terms: -8 + -60 = -68 6a = -68 Divide each side by '6'. a = -11.33333333 Simplifying a = -11.33333333
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