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Simplifying 7(-1 + 2a) + -1 = -26 + 5a (-1 * 7 + 2a * 7) + -1 = -26 + 5a (-7 + 14a) + -1 = -26 + 5a Reorder the terms: -7 + -1 + 14a = -26 + 5a Combine like terms: -7 + -1 = -8 -8 + 14a = -26 + 5a Solving -8 + 14a = -26 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. -8 + 14a + -5a = -26 + 5a + -5a Combine like terms: 14a + -5a = 9a -8 + 9a = -26 + 5a + -5a Combine like terms: 5a + -5a = 0 -8 + 9a = -26 + 0 -8 + 9a = -26 Add '8' to each side of the equation. -8 + 8 + 9a = -26 + 8 Combine like terms: -8 + 8 = 0 0 + 9a = -26 + 8 9a = -26 + 8 Combine like terms: -26 + 8 = -18 9a = -18 Divide each side by '9'. a = -2 Simplifying a = -2
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