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