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Simplifying 3 + -3(z + -3) = (3z + -5) + -7 Reorder the terms: 3 + -3(-3 + z) = (3z + -5) + -7 3 + (-3 * -3 + z * -3) = (3z + -5) + -7 3 + (9 + -3z) = (3z + -5) + -7 Combine like terms: 3 + 9 = 12 12 + -3z = (3z + -5) + -7 Reorder the terms: 12 + -3z = (-5 + 3z) + -7 Remove parenthesis around (-5 + 3z) 12 + -3z = -5 + 3z + -7 Reorder the terms: 12 + -3z = -5 + -7 + 3z Combine like terms: -5 + -7 = -12 12 + -3z = -12 + 3z Solving 12 + -3z = -12 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. 12 + -3z + -3z = -12 + 3z + -3z Combine like terms: -3z + -3z = -6z 12 + -6z = -12 + 3z + -3z Combine like terms: 3z + -3z = 0 12 + -6z = -12 + 0 12 + -6z = -12 Add '-12' to each side of the equation. 12 + -12 + -6z = -12 + -12 Combine like terms: 12 + -12 = 0 0 + -6z = -12 + -12 -6z = -12 + -12 Combine like terms: -12 + -12 = -24 -6z = -24 Divide each side by '-6'. z = 4 Simplifying z = 4
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