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Simplifying 7(a + -1) + 4 = -1(2a + -4) + 6a + 2 Reorder the terms: 7(-1 + a) + 4 = -1(2a + -4) + 6a + 2 (-1 * 7 + a * 7) + 4 = -1(2a + -4) + 6a + 2 (-7 + 7a) + 4 = -1(2a + -4) + 6a + 2 Reorder the terms: -7 + 4 + 7a = -1(2a + -4) + 6a + 2 Combine like terms: -7 + 4 = -3 -3 + 7a = -1(2a + -4) + 6a + 2 Reorder the terms: -3 + 7a = -1(-4 + 2a) + 6a + 2 -3 + 7a = (-4 * -1 + 2a * -1) + 6a + 2 -3 + 7a = (4 + -2a) + 6a + 2 Reorder the terms: -3 + 7a = 4 + 2 + -2a + 6a Combine like terms: 4 + 2 = 6 -3 + 7a = 6 + -2a + 6a Combine like terms: -2a + 6a = 4a -3 + 7a = 6 + 4a Solving -3 + 7a = 6 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. -3 + 7a + -4a = 6 + 4a + -4a Combine like terms: 7a + -4a = 3a -3 + 3a = 6 + 4a + -4a Combine like terms: 4a + -4a = 0 -3 + 3a = 6 + 0 -3 + 3a = 6 Add '3' to each side of the equation. -3 + 3 + 3a = 6 + 3 Combine like terms: -3 + 3 = 0 0 + 3a = 6 + 3 3a = 6 + 3 Combine like terms: 6 + 3 = 9 3a = 9 Divide each side by '3'. a = 3 Simplifying a = 3
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