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Simplifying 8 + 5(z + -4) = 2(z + 7) Reorder the terms: 8 + 5(-4 + z) = 2(z + 7) 8 + (-4 * 5 + z * 5) = 2(z + 7) 8 + (-20 + 5z) = 2(z + 7) Combine like terms: 8 + -20 = -12 -12 + 5z = 2(z + 7) Reorder the terms: -12 + 5z = 2(7 + z) -12 + 5z = (7 * 2 + z * 2) -12 + 5z = (14 + 2z) Solving -12 + 5z = 14 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. -12 + 5z + -2z = 14 + 2z + -2z Combine like terms: 5z + -2z = 3z -12 + 3z = 14 + 2z + -2z Combine like terms: 2z + -2z = 0 -12 + 3z = 14 + 0 -12 + 3z = 14 Add '12' to each side of the equation. -12 + 12 + 3z = 14 + 12 Combine like terms: -12 + 12 = 0 0 + 3z = 14 + 12 3z = 14 + 12 Combine like terms: 14 + 12 = 26 3z = 26 Divide each side by '3'. z = 8.666666667 Simplifying z = 8.666666667
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