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Simplifying 8(a + -1) = 7(a + 7) Reorder the terms: 8(-1 + a) = 7(a + 7) (-1 * 8 + a * 8) = 7(a + 7) (-8 + 8a) = 7(a + 7) Reorder the terms: -8 + 8a = 7(7 + a) -8 + 8a = (7 * 7 + a * 7) -8 + 8a = (49 + 7a) Solving -8 + 8a = 49 + 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. -8 + 8a + -7a = 49 + 7a + -7a Combine like terms: 8a + -7a = 1a -8 + 1a = 49 + 7a + -7a Combine like terms: 7a + -7a = 0 -8 + 1a = 49 + 0 -8 + 1a = 49 Add '8' to each side of the equation. -8 + 8 + 1a = 49 + 8 Combine like terms: -8 + 8 = 0 0 + 1a = 49 + 8 1a = 49 + 8 Combine like terms: 49 + 8 = 57 1a = 57 Divide each side by '1'. a = 57 Simplifying a = 57
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