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Simplifying 3a + -8 = 6(a + 1) + 11a + 1 Reorder the terms: -8 + 3a = 6(a + 1) + 11a + 1 Reorder the terms: -8 + 3a = 6(1 + a) + 11a + 1 -8 + 3a = (1 * 6 + a * 6) + 11a + 1 -8 + 3a = (6 + 6a) + 11a + 1 Reorder the terms: -8 + 3a = 6 + 1 + 6a + 11a Combine like terms: 6 + 1 = 7 -8 + 3a = 7 + 6a + 11a Combine like terms: 6a + 11a = 17a -8 + 3a = 7 + 17a Solving -8 + 3a = 7 + 17a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-17a' to each side of the equation. -8 + 3a + -17a = 7 + 17a + -17a Combine like terms: 3a + -17a = -14a -8 + -14a = 7 + 17a + -17a Combine like terms: 17a + -17a = 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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