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Simplifying 5(z + -8) = 1 + 6z Reorder the terms: 5(-8 + z) = 1 + 6z (-8 * 5 + z * 5) = 1 + 6z (-40 + 5z) = 1 + 6z Solving -40 + 5z = 1 + 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. -40 + 5z + -6z = 1 + 6z + -6z Combine like terms: 5z + -6z = -1z -40 + -1z = 1 + 6z + -6z Combine like terms: 6z + -6z = 0 -40 + -1z = 1 + 0 -40 + -1z = 1 Add '40' to each side of the equation. -40 + 40 + -1z = 1 + 40 Combine like terms: -40 + 40 = 0 0 + -1z = 1 + 40 -1z = 1 + 40 Combine like terms: 1 + 40 = 41 -1z = 41 Divide each side by '-1'. z = -41 Simplifying z = -41
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