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Simplifying 2(a + -8) + 7 = 6(a + 2) + -3a + -19 Reorder the terms: 2(-8 + a) + 7 = 6(a + 2) + -3a + -19 (-8 * 2 + a * 2) + 7 = 6(a + 2) + -3a + -19 (-16 + 2a) + 7 = 6(a + 2) + -3a + -19 Reorder the terms: -16 + 7 + 2a = 6(a + 2) + -3a + -19 Combine like terms: -16 + 7 = -9 -9 + 2a = 6(a + 2) + -3a + -19 Reorder the terms: -9 + 2a = 6(2 + a) + -3a + -19 -9 + 2a = (2 * 6 + a * 6) + -3a + -19 -9 + 2a = (12 + 6a) + -3a + -19 Reorder the terms: -9 + 2a = 12 + -19 + 6a + -3a Combine like terms: 12 + -19 = -7 -9 + 2a = -7 + 6a + -3a Combine like terms: 6a + -3a = 3a -9 + 2a = -7 + 3a Solving -9 + 2a = -7 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. -9 + 2a + -3a = -7 + 3a + -3a Combine like terms: 2a + -3a = -1a -9 + -1a = -7 + 3a + -3a Combine like terms: 3a + -3a = 0 -9 + -1a = -7 + 0 -9 + -1a = -7 Add '9' to each side of the equation. -9 + 9 + -1a = -7 + 9 Combine like terms: -9 + 9 = 0 0 + -1a = -7 + 9 -1a = -7 + 9 Combine like terms: -7 + 9 = 2 -1a = 2 Divide each side by '-1'. a = -2 Simplifying a = -2
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