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Simplifying 7(a + -1) = 5 + -2a Reorder the terms: 7(-1 + a) = 5 + -2a (-1 * 7 + a * 7) = 5 + -2a (-7 + 7a) = 5 + -2a Solving -7 + 7a = 5 + -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. -7 + 7a + 2a = 5 + -2a + 2a Combine like terms: 7a + 2a = 9a -7 + 9a = 5 + -2a + 2a Combine like terms: -2a + 2a = 0 -7 + 9a = 5 + 0 -7 + 9a = 5 Add '7' to each side of the equation. -7 + 7 + 9a = 5 + 7 Combine like terms: -7 + 7 = 0 0 + 9a = 5 + 7 9a = 5 + 7 Combine like terms: 5 + 7 = 12 9a = 12 Divide each side by '9'. a = 1.333333333 Simplifying a = 1.333333333
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