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Simplifying 2a + -6 = 4(a + 1) + 9a + 2 Reorder the terms: -6 + 2a = 4(a + 1) + 9a + 2 Reorder the terms: -6 + 2a = 4(1 + a) + 9a + 2 -6 + 2a = (1 * 4 + a * 4) + 9a + 2 -6 + 2a = (4 + 4a) + 9a + 2 Reorder the terms: -6 + 2a = 4 + 2 + 4a + 9a Combine like terms: 4 + 2 = 6 -6 + 2a = 6 + 4a + 9a Combine like terms: 4a + 9a = 13a -6 + 2a = 6 + 13a Solving -6 + 2a = 6 + 13a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-13a' to each side of the equation. -6 + 2a + -13a = 6 + 13a + -13a Combine like terms: 2a + -13a = -11a -6 + -11a = 6 + 13a + -13a Combine like terms: 13a + -13a = 0 -6 + -11a = 6 + 0 -6 + -11a = 6 Add '6' to each side of the equation. -6 + 6 + -11a = 6 + 6 Combine like terms: -6 + 6 = 0 0 + -11a = 6 + 6 -11a = 6 + 6 Combine like terms: 6 + 6 = 12 -11a = 12 Divide each side by '-11'. a = -1.090909091 Simplifying a = -1.090909091
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