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Simplifying 6(a + 2) = 4[a + -1(10 + -1a)] Reorder the terms: 6(2 + a) = 4[a + -1(10 + -1a)] (2 * 6 + a * 6) = 4[a + -1(10 + -1a)] (12 + 6a) = 4[a + -1(10 + -1a)] 12 + 6a = 4[a + (10 * -1 + -1a * -1)] 12 + 6a = 4[a + (-10 + 1a)] Reorder the terms: 12 + 6a = 4[-10 + a + 1a] Combine like terms: a + 1a = 2a 12 + 6a = 4[-10 + 2a] 12 + 6a = [-10 * 4 + 2a * 4] 12 + 6a = [-40 + 8a] Solving 12 + 6a = -40 + 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. 12 + 6a + -8a = -40 + 8a + -8a Combine like terms: 6a + -8a = -2a 12 + -2a = -40 + 8a + -8a Combine like terms: 8a + -8a = 0 12 + -2a = -40 + 0 12 + -2a = -40 Add '-12' to each side of the equation. 12 + -12 + -2a = -40 + -12 Combine like terms: 12 + -12 = 0 0 + -2a = -40 + -12 -2a = -40 + -12 Combine like terms: -40 + -12 = -52 -2a = -52 Divide each side by '-2'. a = 26 Simplifying a = 26
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