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Simplifying 2a + -8 = 2(a + 1) + 14a + 5 Reorder the terms: -8 + 2a = 2(a + 1) + 14a + 5 Reorder the terms: -8 + 2a = 2(1 + a) + 14a + 5 -8 + 2a = (1 * 2 + a * 2) + 14a + 5 -8 + 2a = (2 + 2a) + 14a + 5 Reorder the terms: -8 + 2a = 2 + 5 + 2a + 14a Combine like terms: 2 + 5 = 7 -8 + 2a = 7 + 2a + 14a Combine like terms: 2a + 14a = 16a -8 + 2a = 7 + 16a Solving -8 + 2a = 7 + 16a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-16a' to each side of the equation. -8 + 2a + -16a = 7 + 16a + -16a Combine like terms: 2a + -16a = -14a -8 + -14a = 7 + 16a + -16a Combine like terms: 16a + -16a = 0 -8 + -14a = 7 + 0 -8 + -14a = 7 Add '8' to each side of the equation. -8 + 8 + -14a = 7 + 8 Combine like terms: -8 + 8 = 0 0 + -14a = 7 + 8 -14a = 7 + 8 Combine like terms: 7 + 8 = 15 -14a = 15 Divide each side by '-14'. a = -1.071428571 Simplifying a = -1.071428571
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