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Simplifying 11a + 16 + -3a = 7(2a + 10) Reorder the terms: 16 + 11a + -3a = 7(2a + 10) Combine like terms: 11a + -3a = 8a 16 + 8a = 7(2a + 10) Reorder the terms: 16 + 8a = 7(10 + 2a) 16 + 8a = (10 * 7 + 2a * 7) 16 + 8a = (70 + 14a) Solving 16 + 8a = 70 + 14a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-14a' to each side of the equation. 16 + 8a + -14a = 70 + 14a + -14a Combine like terms: 8a + -14a = -6a 16 + -6a = 70 + 14a + -14a Combine like terms: 14a + -14a = 0 16 + -6a = 70 + 0 16 + -6a = 70 Add '-16' to each side of the equation. 16 + -16 + -6a = 70 + -16 Combine like terms: 16 + -16 = 0 0 + -6a = 70 + -16 -6a = 70 + -16 Combine like terms: 70 + -16 = 54 -6a = 54 Divide each side by '-6'. a = -9 Simplifying a = -9
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