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Simplifying 8(a + 7) = 7(8 + a) + -6 Reorder the terms: 8(7 + a) = 7(8 + a) + -6 (7 * 8 + a * 8) = 7(8 + a) + -6 (56 + 8a) = 7(8 + a) + -6 56 + 8a = (8 * 7 + a * 7) + -6 56 + 8a = (56 + 7a) + -6 Reorder the terms: 56 + 8a = 56 + -6 + 7a Combine like terms: 56 + -6 = 50 56 + 8a = 50 + 7a Solving 56 + 8a = 50 + 7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. 56 + 8a + -7a = 50 + 7a + -7a Combine like terms: 8a + -7a = 1a 56 + 1a = 50 + 7a + -7a Combine like terms: 7a + -7a = 0 56 + 1a = 50 + 0 56 + 1a = 50 Add '-56' to each side of the equation. 56 + -56 + 1a = 50 + -56 Combine like terms: 56 + -56 = 0 0 + 1a = 50 + -56 1a = 50 + -56 Combine like terms: 50 + -56 = -6 1a = -6 Divide each side by '1'. a = -6 Simplifying a = -6
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