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Simplifying 2(a + -8) + 7 = (a + 2) + -3a + -19 Reorder the terms: 2(-8 + a) + 7 = (a + 2) + -3a + -19 (-8 * 2 + a * 2) + 7 = (a + 2) + -3a + -19 (-16 + 2a) + 7 = (a + 2) + -3a + -19 Reorder the terms: -16 + 7 + 2a = (a + 2) + -3a + -19 Combine like terms: -16 + 7 = -9 -9 + 2a = (a + 2) + -3a + -19 Reorder the terms: -9 + 2a = (2 + a) + -3a + -19 Remove parenthesis around (2 + a) -9 + 2a = 2 + a + -3a + -19 Reorder the terms: -9 + 2a = 2 + -19 + a + -3a Combine like terms: 2 + -19 = -17 -9 + 2a = -17 + a + -3a Combine like terms: a + -3a = -2a -9 + 2a = -17 + -2a Solving -9 + 2a = -17 + -2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2a' to each side of the equation. -9 + 2a + 2a = -17 + -2a + 2a Combine like terms: 2a + 2a = 4a -9 + 4a = -17 + -2a + 2a Combine like terms: -2a + 2a = 0 -9 + 4a = -17 + 0 -9 + 4a = -17 Add '9' to each side of the equation. -9 + 9 + 4a = -17 + 9 Combine like terms: -9 + 9 = 0 0 + 4a = -17 + 9 4a = -17 + 9 Combine like terms: -17 + 9 = -8 4a = -8 Divide each side by '4'. a = -2 Simplifying a = -2
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