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Simplifying a + -9 = 2 + 4(7a + 4) Reorder the terms: -9 + a = 2 + 4(7a + 4) Reorder the terms: -9 + a = 2 + 4(4 + 7a) -9 + a = 2 + (4 * 4 + 7a * 4) -9 + a = 2 + (16 + 28a) Combine like terms: 2 + 16 = 18 -9 + a = 18 + 28a Solving -9 + a = 18 + 28a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-28a' to each side of the equation. -9 + a + -28a = 18 + 28a + -28a Combine like terms: a + -28a = -27a -9 + -27a = 18 + 28a + -28a Combine like terms: 28a + -28a = 0 -9 + -27a = 18 + 0 -9 + -27a = 18 Add '9' to each side of the equation. -9 + 9 + -27a = 18 + 9 Combine like terms: -9 + 9 = 0 0 + -27a = 18 + 9 -27a = 18 + 9 Combine like terms: 18 + 9 = 27 -27a = 27 Divide each side by '-27'. a = -1 Simplifying a = -1
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