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Simplifying 11a + 7 + -1a = 11 + -4a + -18 Reorder the terms: 7 + 11a + -1a = 11 + -4a + -18 Combine like terms: 11a + -1a = 10a 7 + 10a = 11 + -4a + -18 Reorder the terms: 7 + 10a = 11 + -18 + -4a Combine like terms: 11 + -18 = -7 7 + 10a = -7 + -4a Solving 7 + 10a = -7 + -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. 7 + 10a + 4a = -7 + -4a + 4a Combine like terms: 10a + 4a = 14a 7 + 14a = -7 + -4a + 4a Combine like terms: -4a + 4a = 0 7 + 14a = -7 + 0 7 + 14a = -7 Add '-7' to each side of the equation. 7 + -7 + 14a = -7 + -7 Combine like terms: 7 + -7 = 0 0 + 14a = -7 + -7 14a = -7 + -7 Combine like terms: -7 + -7 = -14 14a = -14 Divide each side by '14'. a = -1 Simplifying a = -1
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