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Simplifying 2a + -8 = 2(a + 1) + 16a + 7 Reorder the terms: -8 + 2a = 2(a + 1) + 16a + 7 Reorder the terms: -8 + 2a = 2(1 + a) + 16a + 7 -8 + 2a = (1 * 2 + a * 2) + 16a + 7 -8 + 2a = (2 + 2a) + 16a + 7 Reorder the terms: -8 + 2a = 2 + 7 + 2a + 16a Combine like terms: 2 + 7 = 9 -8 + 2a = 9 + 2a + 16a Combine like terms: 2a + 16a = 18a -8 + 2a = 9 + 18a Solving -8 + 2a = 9 + 18a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-18a' to each side of the equation. -8 + 2a + -18a = 9 + 18a + -18a Combine like terms: 2a + -18a = -16a -8 + -16a = 9 + 18a + -18a Combine like terms: 18a + -18a = 0 -8 + -16a = 9 + 0 -8 + -16a = 9 Add '8' to each side of the equation. -8 + 8 + -16a = 9 + 8 Combine like terms: -8 + 8 = 0 0 + -16a = 9 + 8 -16a = 9 + 8 Combine like terms: 9 + 8 = 17 -16a = 17 Divide each side by '-16'. a = -1.0625 Simplifying a = -1.0625
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