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Simplifying 7(a + -1) = 3(a + 1) Reorder the terms: 7(-1 + a) = 3(a + 1) (-1 * 7 + a * 7) = 3(a + 1) (-7 + 7a) = 3(a + 1) Reorder the terms: -7 + 7a = 3(1 + a) -7 + 7a = (1 * 3 + a * 3) -7 + 7a = (3 + 3a) Solving -7 + 7a = 3 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. -7 + 7a + -3a = 3 + 3a + -3a Combine like terms: 7a + -3a = 4a -7 + 4a = 3 + 3a + -3a Combine like terms: 3a + -3a = 0 -7 + 4a = 3 + 0 -7 + 4a = 3 Add '7' to each side of the equation. -7 + 7 + 4a = 3 + 7 Combine like terms: -7 + 7 = 0 0 + 4a = 3 + 7 4a = 3 + 7 Combine like terms: 3 + 7 = 10 4a = 10 Divide each side by '4'. a = 2.5 Simplifying a = 2.5
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