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Simplifying 9(a + 2) + 6(a + -11) = 1 + 11a + a + -10 Reorder the terms: 9(2 + a) + 6(a + -11) = 1 + 11a + a + -10 (2 * 9 + a * 9) + 6(a + -11) = 1 + 11a + a + -10 (18 + 9a) + 6(a + -11) = 1 + 11a + a + -10 Reorder the terms: 18 + 9a + 6(-11 + a) = 1 + 11a + a + -10 18 + 9a + (-11 * 6 + a * 6) = 1 + 11a + a + -10 18 + 9a + (-66 + 6a) = 1 + 11a + a + -10 Reorder the terms: 18 + -66 + 9a + 6a = 1 + 11a + a + -10 Combine like terms: 18 + -66 = -48 -48 + 9a + 6a = 1 + 11a + a + -10 Combine like terms: 9a + 6a = 15a -48 + 15a = 1 + 11a + a + -10 Reorder the terms: -48 + 15a = 1 + -10 + 11a + a Combine like terms: 1 + -10 = -9 -48 + 15a = -9 + 11a + a Combine like terms: 11a + a = 12a -48 + 15a = -9 + 12a Solving -48 + 15a = -9 + 12a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12a' to each side of the equation. -48 + 15a + -12a = -9 + 12a + -12a Combine like terms: 15a + -12a = 3a -48 + 3a = -9 + 12a + -12a Combine like terms: 12a + -12a = 0 -48 + 3a = -9 + 0 -48 + 3a = -9 Add '48' to each side of the equation. -48 + 48 + 3a = -9 + 48 Combine like terms: -48 + 48 = 0 0 + 3a = -9 + 48 3a = -9 + 48 Combine like terms: -9 + 48 = 39 3a = 39 Divide each side by '3'. a = 13 Simplifying a = 13
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