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Simplifying 3 = 4(z + -3) + z Reorder the terms: 3 = 4(-3 + z) + z 3 = (-3 * 4 + z * 4) + z 3 = (-12 + 4z) + z Combine like terms: 4z + z = 5z 3 = -12 + 5z Solving 3 = -12 + 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. 3 + -5z = -12 + 5z + -5z Combine like terms: 5z + -5z = 0 3 + -5z = -12 + 0 3 + -5z = -12 Add '-3' to each side of the equation. 3 + -3 + -5z = -12 + -3 Combine like terms: 3 + -3 = 0 0 + -5z = -12 + -3 -5z = -12 + -3 Combine like terms: -12 + -3 = -15 -5z = -15 Divide each side by '-5'. z = 3 Simplifying z = 3
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