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Simplifying -3(z + 4) = -5(z + -2) Reorder the terms: -3(4 + z) = -5(z + -2) (4 * -3 + z * -3) = -5(z + -2) (-12 + -3z) = -5(z + -2) Reorder the terms: -12 + -3z = -5(-2 + z) -12 + -3z = (-2 * -5 + z * -5) -12 + -3z = (10 + -5z) Solving -12 + -3z = 10 + -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. -12 + -3z + 5z = 10 + -5z + 5z Combine like terms: -3z + 5z = 2z -12 + 2z = 10 + -5z + 5z Combine like terms: -5z + 5z = 0 -12 + 2z = 10 + 0 -12 + 2z = 10 Add '12' to each side of the equation. -12 + 12 + 2z = 10 + 12 Combine like terms: -12 + 12 = 0 0 + 2z = 10 + 12 2z = 10 + 12 Combine like terms: 10 + 12 = 22 2z = 22 Divide each side by '2'. z = 11 Simplifying z = 11
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