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Simplifying 2a + -9 = 6(a + 1) + 10a + 2 Reorder the terms: -9 + 2a = 6(a + 1) + 10a + 2 Reorder the terms: -9 + 2a = 6(1 + a) + 10a + 2 -9 + 2a = (1 * 6 + a * 6) + 10a + 2 -9 + 2a = (6 + 6a) + 10a + 2 Reorder the terms: -9 + 2a = 6 + 2 + 6a + 10a Combine like terms: 6 + 2 = 8 -9 + 2a = 8 + 6a + 10a Combine like terms: 6a + 10a = 16a -9 + 2a = 8 + 16a Solving -9 + 2a = 8 + 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. -9 + 2a + -16a = 8 + 16a + -16a Combine like terms: 2a + -16a = -14a -9 + -14a = 8 + 16a + -16a Combine like terms: 16a + -16a = 0 -9 + -14a = 8 + 0 -9 + -14a = 8 Add '9' to each side of the equation. -9 + 9 + -14a = 8 + 9 Combine like terms: -9 + 9 = 0 0 + -14a = 8 + 9 -14a = 8 + 9 Combine like terms: 8 + 9 = 17 -14a = 17 Divide each side by '-14'. a = -1.214285714 Simplifying a = -1.214285714
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