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Simplifying 3(z + -7) = 3 + 4z Reorder the terms: 3(-7 + z) = 3 + 4z (-7 * 3 + z * 3) = 3 + 4z (-21 + 3z) = 3 + 4z Solving -21 + 3z = 3 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. -21 + 3z + -4z = 3 + 4z + -4z Combine like terms: 3z + -4z = -1z -21 + -1z = 3 + 4z + -4z Combine like terms: 4z + -4z = 0 -21 + -1z = 3 + 0 -21 + -1z = 3 Add '21' to each side of the equation. -21 + 21 + -1z = 3 + 21 Combine like terms: -21 + 21 = 0 0 + -1z = 3 + 21 -1z = 3 + 21 Combine like terms: 3 + 21 = 24 -1z = 24 Divide each side by '-1'. z = -24 Simplifying z = -24
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