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Simplifying 8 + -7(a + -7) = 3(1 + -2a) + -7a Reorder the terms: 8 + -7(-7 + a) = 3(1 + -2a) + -7a 8 + (-7 * -7 + a * -7) = 3(1 + -2a) + -7a 8 + (49 + -7a) = 3(1 + -2a) + -7a Combine like terms: 8 + 49 = 57 57 + -7a = 3(1 + -2a) + -7a 57 + -7a = (1 * 3 + -2a * 3) + -7a 57 + -7a = (3 + -6a) + -7a Combine like terms: -6a + -7a = -13a 57 + -7a = 3 + -13a Solving 57 + -7a = 3 + -13a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '13a' to each side of the equation. 57 + -7a + 13a = 3 + -13a + 13a Combine like terms: -7a + 13a = 6a 57 + 6a = 3 + -13a + 13a Combine like terms: -13a + 13a = 0 57 + 6a = 3 + 0 57 + 6a = 3 Add '-57' to each side of the equation. 57 + -57 + 6a = 3 + -57 Combine like terms: 57 + -57 = 0 0 + 6a = 3 + -57 6a = 3 + -57 Combine like terms: 3 + -57 = -54 6a = -54 Divide each side by '6'. a = -9 Simplifying a = -9
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