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Simplifying 2a + -8 + 7 = 8a + 2 + -19 Reorder the terms: -8 + 7 + 2a = 8a + 2 + -19 Combine like terms: -8 + 7 = -1 -1 + 2a = 8a + 2 + -19 Reorder the terms: -1 + 2a = 2 + -19 + 8a Combine like terms: 2 + -19 = -17 -1 + 2a = -17 + 8a Solving -1 + 2a = -17 + 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. -1 + 2a + -8a = -17 + 8a + -8a Combine like terms: 2a + -8a = -6a -1 + -6a = -17 + 8a + -8a Combine like terms: 8a + -8a = 0 -1 + -6a = -17 + 0 -1 + -6a = -17 Add '1' to each side of the equation. -1 + 1 + -6a = -17 + 1 Combine like terms: -1 + 1 = 0 0 + -6a = -17 + 1 -6a = -17 + 1 Combine like terms: -17 + 1 = -16 -6a = -16 Divide each side by '-6'. a = 2.666666667 Simplifying a = 2.666666667
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