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Simplifying 3(z + -7) = 2z + 7 Reorder the terms: 3(-7 + z) = 2z + 7 (-7 * 3 + z * 3) = 2z + 7 (-21 + 3z) = 2z + 7 Reorder the terms: -21 + 3z = 7 + 2z Solving -21 + 3z = 7 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. -21 + 3z + -2z = 7 + 2z + -2z Combine like terms: 3z + -2z = 1z -21 + 1z = 7 + 2z + -2z Combine like terms: 2z + -2z = 0 -21 + 1z = 7 + 0 -21 + 1z = 7 Add '21' to each side of the equation. -21 + 21 + 1z = 7 + 21 Combine like terms: -21 + 21 = 0 0 + 1z = 7 + 21 1z = 7 + 21 Combine like terms: 7 + 21 = 28 1z = 28 Divide each side by '1'. z = 28 Simplifying z = 28
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