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Simplifying 3a + -6 = 2(a + 1) + 9a + 1 Reorder the terms: -6 + 3a = 2(a + 1) + 9a + 1 Reorder the terms: -6 + 3a = 2(1 + a) + 9a + 1 -6 + 3a = (1 * 2 + a * 2) + 9a + 1 -6 + 3a = (2 + 2a) + 9a + 1 Reorder the terms: -6 + 3a = 2 + 1 + 2a + 9a Combine like terms: 2 + 1 = 3 -6 + 3a = 3 + 2a + 9a Combine like terms: 2a + 9a = 11a -6 + 3a = 3 + 11a Solving -6 + 3a = 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. -6 + 3a + -11a = 3 + 11a + -11a Combine like terms: 3a + -11a = -8a -6 + -8a = 3 + 11a + -11a Combine like terms: 11a + -11a = 0 -6 + -8a = 3 + 0 -6 + -8a = 3 Add '6' to each side of the equation. -6 + 6 + -8a = 3 + 6 Combine like terms: -6 + 6 = 0 0 + -8a = 3 + 6 -8a = 3 + 6 Combine like terms: 3 + 6 = 9 -8a = 9 Divide each side by '-8'. a = -1.125 Simplifying a = -1.125
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