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Simplifying 4 + -1(7z + 3) = 7z + 1 Reorder the terms: 4 + -1(3 + 7z) = 7z + 1 4 + (3 * -1 + 7z * -1) = 7z + 1 4 + (-3 + -7z) = 7z + 1 Combine like terms: 4 + -3 = 1 1 + -7z = 7z + 1 Reorder the terms: 1 + -7z = 1 + 7z Add '-1' to each side of the equation. 1 + -1 + -7z = 1 + -1 + 7z Combine like terms: 1 + -1 = 0 0 + -7z = 1 + -1 + 7z -7z = 1 + -1 + 7z Combine like terms: 1 + -1 = 0 -7z = 0 + 7z -7z = 7z Solving -7z = 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. -7z + -7z = 7z + -7z Combine like terms: -7z + -7z = -14z -14z = 7z + -7z Combine like terms: 7z + -7z = 0 -14z = 0 Divide each side by '-14'. z = 0 Simplifying z = 0
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