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Simplifying 4 + -1(a + 7) = -4a + 6 Reorder the terms: 4 + -1(7 + a) = -4a + 6 4 + (7 * -1 + a * -1) = -4a + 6 4 + (-7 + -1a) = -4a + 6 Combine like terms: 4 + -7 = -3 -3 + -1a = -4a + 6 Reorder the terms: -3 + -1a = 6 + -4a Solving -3 + -1a = 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 + -1a + 4a = 6 + -4a + 4a Combine like terms: -1a + 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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