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Simplifying -3(z + 7) = 5z Reorder the terms: -3(7 + z) = 5z (7 * -3 + z * -3) = 5z (-21 + -3z) = 5z Solving -21 + -3z = 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. -21 + -3z + -5z = 5z + -5z Combine like terms: -3z + -5z = -8z -21 + -8z = 5z + -5z Combine like terms: 5z + -5z = 0 -21 + -8z = 0 Add '21' to each side of the equation. -21 + 21 + -8z = 0 + 21 Combine like terms: -21 + 21 = 0 0 + -8z = 0 + 21 -8z = 0 + 21 Combine like terms: 0 + 21 = 21 -8z = 21 Divide each side by '-8'. z = -2.625 Simplifying z = -2.625
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