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Simplifying 7(z + -1) + -1(3 + 8z) = -2z Reorder the terms: 7(-1 + z) + -1(3 + 8z) = -2z (-1 * 7 + z * 7) + -1(3 + 8z) = -2z (-7 + 7z) + -1(3 + 8z) = -2z -7 + 7z + (3 * -1 + 8z * -1) = -2z -7 + 7z + (-3 + -8z) = -2z Reorder the terms: -7 + -3 + 7z + -8z = -2z Combine like terms: -7 + -3 = -10 -10 + 7z + -8z = -2z Combine like terms: 7z + -8z = -1z -10 + -1z = -2z Solving -10 + -1z = -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. -10 + -1z + 2z = -2z + 2z Combine like terms: -1z + 2z = 1z -10 + 1z = -2z + 2z Combine like terms: -2z + 2z = 0 -10 + 1z = 0 Add '10' to each side of the equation. -10 + 10 + 1z = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 1z = 0 + 10 1z = 0 + 10 Combine like terms: 0 + 10 = 10 1z = 10 Divide each side by '1'. z = 10 Simplifying z = 10
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