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Simplifying 7(-1a + 8) = 2a + 2 Reorder the terms: 7(8 + -1a) = 2a + 2 (8 * 7 + -1a * 7) = 2a + 2 (56 + -7a) = 2a + 2 Reorder the terms: 56 + -7a = 2 + 2a Solving 56 + -7a = 2 + 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. 56 + -7a + -2a = 2 + 2a + -2a Combine like terms: -7a + -2a = -9a 56 + -9a = 2 + 2a + -2a Combine like terms: 2a + -2a = 0 56 + -9a = 2 + 0 56 + -9a = 2 Add '-56' to each side of the equation. 56 + -56 + -9a = 2 + -56 Combine like terms: 56 + -56 = 0 0 + -9a = 2 + -56 -9a = 2 + -56 Combine like terms: 2 + -56 = -54 -9a = -54 Divide each side by '-9'. a = 6 Simplifying a = 6
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