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Simplifying 61 + -1a + 5 = 2(a + 3) + 6(a + 11) Reorder the terms: 61 + 5 + -1a = 2(a + 3) + 6(a + 11) Combine like terms: 61 + 5 = 66 66 + -1a = 2(a + 3) + 6(a + 11) Reorder the terms: 66 + -1a = 2(3 + a) + 6(a + 11) 66 + -1a = (3 * 2 + a * 2) + 6(a + 11) 66 + -1a = (6 + 2a) + 6(a + 11) Reorder the terms: 66 + -1a = 6 + 2a + 6(11 + a) 66 + -1a = 6 + 2a + (11 * 6 + a * 6) 66 + -1a = 6 + 2a + (66 + 6a) Reorder the terms: 66 + -1a = 6 + 66 + 2a + 6a Combine like terms: 6 + 66 = 72 66 + -1a = 72 + 2a + 6a Combine like terms: 2a + 6a = 8a 66 + -1a = 72 + 8a Solving 66 + -1a = 72 + 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. 66 + -1a + -8a = 72 + 8a + -8a Combine like terms: -1a + -8a = -9a 66 + -9a = 72 + 8a + -8a Combine like terms: 8a + -8a = 0 66 + -9a = 72 + 0 66 + -9a = 72 Add '-66' to each side of the equation. 66 + -66 + -9a = 72 + -66 Combine like terms: 66 + -66 = 0 0 + -9a = 72 + -66 -9a = 72 + -66 Combine like terms: 72 + -66 = 6 -9a = 6 Divide each side by '-9'. a = -0.6666666667 Simplifying a = -0.6666666667
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