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Simplifying 3(z + -3) + -3 = 4(z + -6) Reorder the terms: 3(-3 + z) + -3 = 4(z + -6) (-3 * 3 + z * 3) + -3 = 4(z + -6) (-9 + 3z) + -3 = 4(z + -6) Reorder the terms: -9 + -3 + 3z = 4(z + -6) Combine like terms: -9 + -3 = -12 -12 + 3z = 4(z + -6) Reorder the terms: -12 + 3z = 4(-6 + z) -12 + 3z = (-6 * 4 + z * 4) -12 + 3z = (-24 + 4z) Solving -12 + 3z = -24 + 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. -12 + 3z + -4z = -24 + 4z + -4z Combine like terms: 3z + -4z = -1z -12 + -1z = -24 + 4z + -4z Combine like terms: 4z + -4z = 0 -12 + -1z = -24 + 0 -12 + -1z = -24 Add '12' to each side of the equation. -12 + 12 + -1z = -24 + 12 Combine like terms: -12 + 12 = 0 0 + -1z = -24 + 12 -1z = -24 + 12 Combine like terms: -24 + 12 = -12 -1z = -12 Divide each side by '-1'. z = 12 Simplifying z = 12
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