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Simplifying 4(2z + -2) = 7(z + 2) Reorder the terms: 4(-2 + 2z) = 7(z + 2) (-2 * 4 + 2z * 4) = 7(z + 2) (-8 + 8z) = 7(z + 2) Reorder the terms: -8 + 8z = 7(2 + z) -8 + 8z = (2 * 7 + z * 7) -8 + 8z = (14 + 7z) Solving -8 + 8z = 14 + 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. -8 + 8z + -7z = 14 + 7z + -7z Combine like terms: 8z + -7z = 1z -8 + 1z = 14 + 7z + -7z Combine like terms: 7z + -7z = 0 -8 + 1z = 14 + 0 -8 + 1z = 14 Add '8' to each side of the equation. -8 + 8 + 1z = 14 + 8 Combine like terms: -8 + 8 = 0 0 + 1z = 14 + 8 1z = 14 + 8 Combine like terms: 14 + 8 = 22 1z = 22 Divide each side by '1'. z = 22 Simplifying z = 22
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