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Simplifying -1(-2a + -7) = 8(7a + 7) + -5a Reorder the terms: -1(-7 + -2a) = 8(7a + 7) + -5a (-7 * -1 + -2a * -1) = 8(7a + 7) + -5a (7 + 2a) = 8(7a + 7) + -5a Reorder the terms: 7 + 2a = 8(7 + 7a) + -5a 7 + 2a = (7 * 8 + 7a * 8) + -5a 7 + 2a = (56 + 56a) + -5a Combine like terms: 56a + -5a = 51a 7 + 2a = 56 + 51a Solving 7 + 2a = 56 + 51a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-51a' to each side of the equation. 7 + 2a + -51a = 56 + 51a + -51a Combine like terms: 2a + -51a = -49a 7 + -49a = 56 + 51a + -51a Combine like terms: 51a + -51a = 0 7 + -49a = 56 + 0 7 + -49a = 56 Add '-7' to each side of the equation. 7 + -7 + -49a = 56 + -7 Combine like terms: 7 + -7 = 0 0 + -49a = 56 + -7 -49a = 56 + -7 Combine like terms: 56 + -7 = 49 -49a = 49 Divide each side by '-49'. a = -1 Simplifying a = -1
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