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Simplifying 7(z + 7) + -1(2 + 8z) = -2z Reorder the terms: 7(7 + z) + -1(2 + 8z) = -2z (7 * 7 + z * 7) + -1(2 + 8z) = -2z (49 + 7z) + -1(2 + 8z) = -2z 49 + 7z + (2 * -1 + 8z * -1) = -2z 49 + 7z + (-2 + -8z) = -2z Reorder the terms: 49 + -2 + 7z + -8z = -2z Combine like terms: 49 + -2 = 47 47 + 7z + -8z = -2z Combine like terms: 7z + -8z = -1z 47 + -1z = -2z Solving 47 + -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. 47 + -1z + 2z = -2z + 2z Combine like terms: -1z + 2z = 1z 47 + 1z = -2z + 2z Combine like terms: -2z + 2z = 0 47 + 1z = 0 Add '-47' to each side of the equation. 47 + -47 + 1z = 0 + -47 Combine like terms: 47 + -47 = 0 0 + 1z = 0 + -47 1z = 0 + -47 Combine like terms: 0 + -47 = -47 1z = -47 Divide each side by '1'. z = -47 Simplifying z = -47
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