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Simplifying 7(a + -1) = 4(z + 4) Reorder the terms: 7(-1 + a) = 4(z + 4) (-1 * 7 + a * 7) = 4(z + 4) (-7 + 7a) = 4(z + 4) Reorder the terms: -7 + 7a = 4(4 + z) -7 + 7a = (4 * 4 + z * 4) -7 + 7a = (16 + 4z) Solving -7 + 7a = 16 + 4z Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 7a = 16 + 7 + 4z Combine like terms: -7 + 7 = 0 0 + 7a = 16 + 7 + 4z 7a = 16 + 7 + 4z Combine like terms: 16 + 7 = 23 7a = 23 + 4z Divide each side by '7'. a = 3.285714286 + 0.5714285714z Simplifying a = 3.285714286 + 0.5714285714z
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