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Simplifying 3(z + -7) = 6z Reorder the terms: 3(-7 + z) = 6z (-7 * 3 + z * 3) = 6z (-21 + 3z) = 6z Solving -21 + 3z = 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. -21 + 3z + -6z = 6z + -6z Combine like terms: 3z + -6z = -3z -21 + -3z = 6z + -6z Combine like terms: 6z + -6z = 0 -21 + -3z = 0 Add '21' to each side of the equation. -21 + 21 + -3z = 0 + 21 Combine like terms: -21 + 21 = 0 0 + -3z = 0 + 21 -3z = 0 + 21 Combine like terms: 0 + 21 = 21 -3z = 21 Divide each side by '-3'. z = -7 Simplifying z = -7
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