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Simplifying 11a + -4a + -18 = 2a + a + 10 Reorder the terms: -18 + 11a + -4a = 2a + a + 10 Combine like terms: 11a + -4a = 7a -18 + 7a = 2a + a + 10 Reorder the terms: -18 + 7a = 10 + 2a + a Combine like terms: 2a + a = 3a -18 + 7a = 10 + 3a Solving -18 + 7a = 10 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. -18 + 7a + -3a = 10 + 3a + -3a Combine like terms: 7a + -3a = 4a -18 + 4a = 10 + 3a + -3a Combine like terms: 3a + -3a = 0 -18 + 4a = 10 + 0 -18 + 4a = 10 Add '18' to each side of the equation. -18 + 18 + 4a = 10 + 18 Combine like terms: -18 + 18 = 0 0 + 4a = 10 + 18 4a = 10 + 18 Combine like terms: 10 + 18 = 28 4a = 28 Divide each side by '4'. a = 7 Simplifying a = 7
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