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Simplifying -2 + 7(2z + 1) = -7(-7z + -2) + -7 Reorder the terms: -2 + 7(1 + 2z) = -7(-7z + -2) + -7 -2 + (1 * 7 + 2z * 7) = -7(-7z + -2) + -7 -2 + (7 + 14z) = -7(-7z + -2) + -7 Combine like terms: -2 + 7 = 5 5 + 14z = -7(-7z + -2) + -7 Reorder the terms: 5 + 14z = -7(-2 + -7z) + -7 5 + 14z = (-2 * -7 + -7z * -7) + -7 5 + 14z = (14 + 49z) + -7 Reorder the terms: 5 + 14z = 14 + -7 + 49z Combine like terms: 14 + -7 = 7 5 + 14z = 7 + 49z Solving 5 + 14z = 7 + 49z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-49z' to each side of the equation. 5 + 14z + -49z = 7 + 49z + -49z Combine like terms: 14z + -49z = -35z 5 + -35z = 7 + 49z + -49z Combine like terms: 49z + -49z = 0 5 + -35z = 7 + 0 5 + -35z = 7 Add '-5' to each side of the equation. 5 + -5 + -35z = 7 + -5 Combine like terms: 5 + -5 = 0 0 + -35z = 7 + -5 -35z = 7 + -5 Combine like terms: 7 + -5 = 2 -35z = 2 Divide each side by '-35'. z = -0.05714285714 Simplifying z = -0.05714285714
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