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Simplifying 2a + -9 = 6(a + 1) + 13a + 5 Reorder the terms: -9 + 2a = 6(a + 1) + 13a + 5 Reorder the terms: -9 + 2a = 6(1 + a) + 13a + 5 -9 + 2a = (1 * 6 + a * 6) + 13a + 5 -9 + 2a = (6 + 6a) + 13a + 5 Reorder the terms: -9 + 2a = 6 + 5 + 6a + 13a Combine like terms: 6 + 5 = 11 -9 + 2a = 11 + 6a + 13a Combine like terms: 6a + 13a = 19a -9 + 2a = 11 + 19a Solving -9 + 2a = 11 + 19a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-19a' to each side of the equation. -9 + 2a + -19a = 11 + 19a + -19a Combine like terms: 2a + -19a = -17a -9 + -17a = 11 + 19a + -19a Combine like terms: 19a + -19a = 0 -9 + -17a = 11 + 0 -9 + -17a = 11 Add '9' to each side of the equation. -9 + 9 + -17a = 11 + 9 Combine like terms: -9 + 9 = 0 0 + -17a = 11 + 9 -17a = 11 + 9 Combine like terms: 11 + 9 = 20 -17a = 20 Divide each side by '-17'. a = -1.176470588 Simplifying a = -1.176470588
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