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Simplifying 2(z + -3) = 3(z + -3) Reorder the terms: 2(-3 + z) = 3(z + -3) (-3 * 2 + z * 2) = 3(z + -3) (-6 + 2z) = 3(z + -3) Reorder the terms: -6 + 2z = 3(-3 + z) -6 + 2z = (-3 * 3 + z * 3) -6 + 2z = (-9 + 3z) Solving -6 + 2z = -9 + 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. -6 + 2z + -3z = -9 + 3z + -3z Combine like terms: 2z + -3z = -1z -6 + -1z = -9 + 3z + -3z Combine like terms: 3z + -3z = 0 -6 + -1z = -9 + 0 -6 + -1z = -9 Add '6' to each side of the equation. -6 + 6 + -1z = -9 + 6 Combine like terms: -6 + 6 = 0 0 + -1z = -9 + 6 -1z = -9 + 6 Combine like terms: -9 + 6 = -3 -1z = -3 Divide each side by '-1'. z = 3 Simplifying z = 3
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