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Simplifying 2a + -5 = 4(a + 1) + 7a + 2 Reorder the terms: -5 + 2a = 4(a + 1) + 7a + 2 Reorder the terms: -5 + 2a = 4(1 + a) + 7a + 2 -5 + 2a = (1 * 4 + a * 4) + 7a + 2 -5 + 2a = (4 + 4a) + 7a + 2 Reorder the terms: -5 + 2a = 4 + 2 + 4a + 7a Combine like terms: 4 + 2 = 6 -5 + 2a = 6 + 4a + 7a Combine like terms: 4a + 7a = 11a -5 + 2a = 6 + 11a Solving -5 + 2a = 6 + 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. -5 + 2a + -11a = 6 + 11a + -11a Combine like terms: 2a + -11a = -9a -5 + -9a = 6 + 11a + -11a Combine like terms: 11a + -11a = 0 -5 + -9a = 6 + 0 -5 + -9a = 6 Add '5' to each side of the equation. -5 + 5 + -9a = 6 + 5 Combine like terms: -5 + 5 = 0 0 + -9a = 6 + 5 -9a = 6 + 5 Combine like terms: 6 + 5 = 11 -9a = 11 Divide each side by '-9'. a = -1.222222222 Simplifying a = -1.222222222
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