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Simplifying 2[3 + -1(2a + 7)] + -2 = 6(6 + -1a) Reorder the terms: 2[3 + -1(7 + 2a)] + -2 = 6(6 + -1a) 2[3 + (7 * -1 + 2a * -1)] + -2 = 6(6 + -1a) 2[3 + (-7 + -2a)] + -2 = 6(6 + -1a) Combine like terms: 3 + -7 = -4 2[-4 + -2a] + -2 = 6(6 + -1a) [-4 * 2 + -2a * 2] + -2 = 6(6 + -1a) [-8 + -4a] + -2 = 6(6 + -1a) Reorder the terms: -8 + -2 + -4a = 6(6 + -1a) Combine like terms: -8 + -2 = -10 -10 + -4a = 6(6 + -1a) -10 + -4a = (6 * 6 + -1a * 6) -10 + -4a = (36 + -6a) Solving -10 + -4a = 36 + -6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '6a' to each side of the equation. -10 + -4a + 6a = 36 + -6a + 6a Combine like terms: -4a + 6a = 2a -10 + 2a = 36 + -6a + 6a Combine like terms: -6a + 6a = 0 -10 + 2a = 36 + 0 -10 + 2a = 36 Add '10' to each side of the equation. -10 + 10 + 2a = 36 + 10 Combine like terms: -10 + 10 = 0 0 + 2a = 36 + 10 2a = 36 + 10 Combine like terms: 36 + 10 = 46 2a = 46 Divide each side by '2'. a = 23 Simplifying a = 23
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