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Simplifying 2(6a + -7) + -7 = -8a + 19 Reorder the terms: 2(-7 + 6a) + -7 = -8a + 19 (-7 * 2 + 6a * 2) + -7 = -8a + 19 (-14 + 12a) + -7 = -8a + 19 Reorder the terms: -14 + -7 + 12a = -8a + 19 Combine like terms: -14 + -7 = -21 -21 + 12a = -8a + 19 Reorder the terms: -21 + 12a = 19 + -8a Solving -21 + 12a = 19 + -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. -21 + 12a + 8a = 19 + -8a + 8a Combine like terms: 12a + 8a = 20a -21 + 20a = 19 + -8a + 8a Combine like terms: -8a + 8a = 0 -21 + 20a = 19 + 0 -21 + 20a = 19 Add '21' to each side of the equation. -21 + 21 + 20a = 19 + 21 Combine like terms: -21 + 21 = 0 0 + 20a = 19 + 21 20a = 19 + 21 Combine like terms: 19 + 21 = 40 20a = 40 Divide each side by '20'. a = 2 Simplifying a = 2
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