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Simplifying -8 + -2(-7z + -3) = -4(3z + -7) + -4 Reorder the terms: -8 + -2(-3 + -7z) = -4(3z + -7) + -4 -8 + (-3 * -2 + -7z * -2) = -4(3z + -7) + -4 -8 + (6 + 14z) = -4(3z + -7) + -4 Combine like terms: -8 + 6 = -2 -2 + 14z = -4(3z + -7) + -4 Reorder the terms: -2 + 14z = -4(-7 + 3z) + -4 -2 + 14z = (-7 * -4 + 3z * -4) + -4 -2 + 14z = (28 + -12z) + -4 Reorder the terms: -2 + 14z = 28 + -4 + -12z Combine like terms: 28 + -4 = 24 -2 + 14z = 24 + -12z Solving -2 + 14z = 24 + -12z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '12z' to each side of the equation. -2 + 14z + 12z = 24 + -12z + 12z Combine like terms: 14z + 12z = 26z -2 + 26z = 24 + -12z + 12z Combine like terms: -12z + 12z = 0 -2 + 26z = 24 + 0 -2 + 26z = 24 Add '2' to each side of the equation. -2 + 2 + 26z = 24 + 2 Combine like terms: -2 + 2 = 0 0 + 26z = 24 + 2 26z = 24 + 2 Combine like terms: 24 + 2 = 26 26z = 26 Divide each side by '26'. z = 1 Simplifying z = 1
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