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Simplifying 8(z + -1) + -1(5z + -2) = 2z Reorder the terms: 8(-1 + z) + -1(5z + -2) = 2z (-1 * 8 + z * 8) + -1(5z + -2) = 2z (-8 + 8z) + -1(5z + -2) = 2z Reorder the terms: -8 + 8z + -1(-2 + 5z) = 2z -8 + 8z + (-2 * -1 + 5z * -1) = 2z -8 + 8z + (2 + -5z) = 2z Reorder the terms: -8 + 2 + 8z + -5z = 2z Combine like terms: -8 + 2 = -6 -6 + 8z + -5z = 2z Combine like terms: 8z + -5z = 3z -6 + 3z = 2z Solving -6 + 3z = 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. -6 + 3z + -2z = 2z + -2z Combine like terms: 3z + -2z = 1z -6 + 1z = 2z + -2z Combine like terms: 2z + -2z = 0 -6 + 1z = 0 Add '6' to each side of the equation. -6 + 6 + 1z = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 1z = 0 + 6 1z = 0 + 6 Combine like terms: 0 + 6 = 6 1z = 6 Divide each side by '1'. z = 6 Simplifying z = 6
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