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Simplifying -8(z + 5) + -1(8z + -4) = 17z Reorder the terms: -8(5 + z) + -1(8z + -4) = 17z (5 * -8 + z * -8) + -1(8z + -4) = 17z (-40 + -8z) + -1(8z + -4) = 17z Reorder the terms: -40 + -8z + -1(-4 + 8z) = 17z -40 + -8z + (-4 * -1 + 8z * -1) = 17z -40 + -8z + (4 + -8z) = 17z Reorder the terms: -40 + 4 + -8z + -8z = 17z Combine like terms: -40 + 4 = -36 -36 + -8z + -8z = 17z Combine like terms: -8z + -8z = -16z -36 + -16z = 17z Solving -36 + -16z = 17z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-17z' to each side of the equation. -36 + -16z + -17z = 17z + -17z Combine like terms: -16z + -17z = -33z -36 + -33z = 17z + -17z Combine like terms: 17z + -17z = 0 -36 + -33z = 0 Add '36' to each side of the equation. -36 + 36 + -33z = 0 + 36 Combine like terms: -36 + 36 = 0 0 + -33z = 0 + 36 -33z = 0 + 36 Combine like terms: 0 + 36 = 36 -33z = 36 Divide each side by '-33'. z = -1.090909091 Simplifying z = -1.090909091
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