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Simplifying 7(a + -1) = 4(a + 4) Reorder the terms: 7(-1 + a) = 4(a + 4) (-1 * 7 + a * 7) = 4(a + 4) (-7 + 7a) = 4(a + 4) Reorder the terms: -7 + 7a = 4(4 + a) -7 + 7a = (4 * 4 + a * 4) -7 + 7a = (16 + 4a) Solving -7 + 7a = 16 + 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. -7 + 7a + -4a = 16 + 4a + -4a Combine like terms: 7a + -4a = 3a -7 + 3a = 16 + 4a + -4a Combine like terms: 4a + -4a = 0 -7 + 3a = 16 + 0 -7 + 3a = 16 Add '7' to each side of the equation. -7 + 7 + 3a = 16 + 7 Combine like terms: -7 + 7 = 0 0 + 3a = 16 + 7 3a = 16 + 7 Combine like terms: 16 + 7 = 23 3a = 23 Divide each side by '3'. a = 7.666666667 Simplifying a = 7.666666667
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