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Simplifying 2(a + -8) + 7 = 5(a + -2) + -4a + -19 Reorder the terms: 2(-8 + a) + 7 = 5(a + -2) + -4a + -19 (-8 * 2 + a * 2) + 7 = 5(a + -2) + -4a + -19 (-16 + 2a) + 7 = 5(a + -2) + -4a + -19 Reorder the terms: -16 + 7 + 2a = 5(a + -2) + -4a + -19 Combine like terms: -16 + 7 = -9 -9 + 2a = 5(a + -2) + -4a + -19 Reorder the terms: -9 + 2a = 5(-2 + a) + -4a + -19 -9 + 2a = (-2 * 5 + a * 5) + -4a + -19 -9 + 2a = (-10 + 5a) + -4a + -19 Reorder the terms: -9 + 2a = -10 + -19 + 5a + -4a Combine like terms: -10 + -19 = -29 -9 + 2a = -29 + 5a + -4a Combine like terms: 5a + -4a = 1a -9 + 2a = -29 + 1a Solving -9 + 2a = -29 + 1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. -9 + 2a + -1a = -29 + 1a + -1a Combine like terms: 2a + -1a = 1a -9 + 1a = -29 + 1a + -1a Combine like terms: 1a + -1a = 0 -9 + 1a = -29 + 0 -9 + 1a = -29 Add '9' to each side of the equation. -9 + 9 + 1a = -29 + 9 Combine like terms: -9 + 9 = 0 0 + 1a = -29 + 9 1a = -29 + 9 Combine like terms: -29 + 9 = -20 1a = -20 Divide each side by '1'. a = -20 Simplifying a = -20
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