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Simplifying 7(z + -3) = 1 + 8z Reorder the terms: 7(-3 + z) = 1 + 8z (-3 * 7 + z * 7) = 1 + 8z (-21 + 7z) = 1 + 8z Solving -21 + 7z = 1 + 8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8z' to each side of the equation. -21 + 7z + -8z = 1 + 8z + -8z Combine like terms: 7z + -8z = -1z -21 + -1z = 1 + 8z + -8z Combine like terms: 8z + -8z = 0 -21 + -1z = 1 + 0 -21 + -1z = 1 Add '21' to each side of the equation. -21 + 21 + -1z = 1 + 21 Combine like terms: -21 + 21 = 0 0 + -1z = 1 + 21 -1z = 1 + 21 Combine like terms: 1 + 21 = 22 -1z = 22 Divide each side by '-1'. z = -22 Simplifying z = -22
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