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Simplifying 2a + -7 = 2(a + 1) + 9a + 1 Reorder the terms: -7 + 2a = 2(a + 1) + 9a + 1 Reorder the terms: -7 + 2a = 2(1 + a) + 9a + 1 -7 + 2a = (1 * 2 + a * 2) + 9a + 1 -7 + 2a = (2 + 2a) + 9a + 1 Reorder the terms: -7 + 2a = 2 + 1 + 2a + 9a Combine like terms: 2 + 1 = 3 -7 + 2a = 3 + 2a + 9a Combine like terms: 2a + 9a = 11a -7 + 2a = 3 + 11a Solving -7 + 2a = 3 + 11a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-11a' to each side of the equation. -7 + 2a + -11a = 3 + 11a + -11a Combine like terms: 2a + -11a = -9a -7 + -9a = 3 + 11a + -11a Combine like terms: 11a + -11a = 0 -7 + -9a = 3 + 0 -7 + -9a = 3 Add '7' to each side of the equation. -7 + 7 + -9a = 3 + 7 Combine like terms: -7 + 7 = 0 0 + -9a = 3 + 7 -9a = 3 + 7 Combine like terms: 3 + 7 = 10 -9a = 10 Divide each side by '-9'. a = -1.111111111 Simplifying a = -1.111111111
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