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Simplifying 2(a + 6) = 9[a + -1(7 + -1a)] Reorder the terms: 2(6 + a) = 9[a + -1(7 + -1a)] (6 * 2 + a * 2) = 9[a + -1(7 + -1a)] (12 + 2a) = 9[a + -1(7 + -1a)] 12 + 2a = 9[a + (7 * -1 + -1a * -1)] 12 + 2a = 9[a + (-7 + 1a)] Reorder the terms: 12 + 2a = 9[-7 + a + 1a] Combine like terms: a + 1a = 2a 12 + 2a = 9[-7 + 2a] 12 + 2a = [-7 * 9 + 2a * 9] 12 + 2a = [-63 + 18a] Solving 12 + 2a = -63 + 18a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-18a' to each side of the equation. 12 + 2a + -18a = -63 + 18a + -18a Combine like terms: 2a + -18a = -16a 12 + -16a = -63 + 18a + -18a Combine like terms: 18a + -18a = 0 12 + -16a = -63 + 0 12 + -16a = -63 Add '-12' to each side of the equation. 12 + -12 + -16a = -63 + -12 Combine like terms: 12 + -12 = 0 0 + -16a = -63 + -12 -16a = -63 + -12 Combine like terms: -63 + -12 = -75 -16a = -75 Divide each side by '-16'. a = 4.6875 Simplifying a = 4.6875
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