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Simplifying 2a + -8 = 3(7a + 1) + 8 Reorder the terms: -8 + 2a = 3(7a + 1) + 8 Reorder the terms: -8 + 2a = 3(1 + 7a) + 8 -8 + 2a = (1 * 3 + 7a * 3) + 8 -8 + 2a = (3 + 21a) + 8 Reorder the terms: -8 + 2a = 3 + 8 + 21a Combine like terms: 3 + 8 = 11 -8 + 2a = 11 + 21a Solving -8 + 2a = 11 + 21a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-21a' to each side of the equation. -8 + 2a + -21a = 11 + 21a + -21a Combine like terms: 2a + -21a = -19a -8 + -19a = 11 + 21a + -21a Combine like terms: 21a + -21a = 0 -8 + -19a = 11 + 0 -8 + -19a = 11 Add '8' to each side of the equation. -8 + 8 + -19a = 11 + 8 Combine like terms: -8 + 8 = 0 0 + -19a = 11 + 8 -19a = 11 + 8 Combine like terms: 11 + 8 = 19 -19a = 19 Divide each side by '-19'. a = -1 Simplifying a = -1
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