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Simplifying 11(a + 9) + 6 = 4a + -10 Reorder the terms: 11(9 + a) + 6 = 4a + -10 (9 * 11 + a * 11) + 6 = 4a + -10 (99 + 11a) + 6 = 4a + -10 Reorder the terms: 99 + 6 + 11a = 4a + -10 Combine like terms: 99 + 6 = 105 105 + 11a = 4a + -10 Reorder the terms: 105 + 11a = -10 + 4a Solving 105 + 11a = -10 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. 105 + 11a + -4a = -10 + 4a + -4a Combine like terms: 11a + -4a = 7a 105 + 7a = -10 + 4a + -4a Combine like terms: 4a + -4a = 0 105 + 7a = -10 + 0 105 + 7a = -10 Add '-105' to each side of the equation. 105 + -105 + 7a = -10 + -105 Combine like terms: 105 + -105 = 0 0 + 7a = -10 + -105 7a = -10 + -105 Combine like terms: -10 + -105 = -115 7a = -115 Divide each side by '7'. a = -16.42857143 Simplifying a = -16.42857143
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