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Simplifying -7 + (-8 + 2) = (7z + 5) + 1 Combine like terms: -8 + 2 = -6 -7 + (-6) = (7z + 5) + 1 -7 + -6 = (7z + 5) + 1 Combine like terms: -7 + -6 = -13 -13 = (7z + 5) + 1 Reorder the terms: -13 = (5 + 7z) + 1 Remove parenthesis around (5 + 7z) -13 = 5 + 7z + 1 Reorder the terms: -13 = 5 + 1 + 7z Combine like terms: 5 + 1 = 6 -13 = 6 + 7z Solving -13 = 6 + 7z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-7z' to each side of the equation. -13 + -7z = 6 + 7z + -7z Combine like terms: 7z + -7z = 0 -13 + -7z = 6 + 0 -13 + -7z = 6 Add '13' to each side of the equation. -13 + 13 + -7z = 6 + 13 Combine like terms: -13 + 13 = 0 0 + -7z = 6 + 13 -7z = 6 + 13 Combine like terms: 6 + 13 = 19 -7z = 19 Divide each side by '-7'. z = -2.714285714 Simplifying z = -2.714285714
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