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Simplifying 8(z + -1) + -2z = -1(z + 5) Reorder the terms: 8(-1 + z) + -2z = -1(z + 5) (-1 * 8 + z * 8) + -2z = -1(z + 5) (-8 + 8z) + -2z = -1(z + 5) Combine like terms: 8z + -2z = 6z -8 + 6z = -1(z + 5) Reorder the terms: -8 + 6z = -1(5 + z) -8 + 6z = (5 * -1 + z * -1) -8 + 6z = (-5 + -1z) Solving -8 + 6z = -5 + -1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add 'z' to each side of the equation. -8 + 6z + z = -5 + -1z + z Combine like terms: 6z + z = 7z -8 + 7z = -5 + -1z + z Combine like terms: -1z + z = 0 -8 + 7z = -5 + 0 -8 + 7z = -5 Add '8' to each side of the equation. -8 + 8 + 7z = -5 + 8 Combine like terms: -8 + 8 = 0 0 + 7z = -5 + 8 7z = -5 + 8 Combine like terms: -5 + 8 = 3 7z = 3 Divide each side by '7'. z = 0.4285714286 Simplifying z = 0.4285714286
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