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Simplifying 54 + 2z = 6 + 5(z + -3) Reorder the terms: 54 + 2z = 6 + 5(-3 + z) 54 + 2z = 6 + (-3 * 5 + z * 5) 54 + 2z = 6 + (-15 + 5z) Combine like terms: 6 + -15 = -9 54 + 2z = -9 + 5z Solving 54 + 2z = -9 + 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. 54 + 2z + -5z = -9 + 5z + -5z Combine like terms: 2z + -5z = -3z 54 + -3z = -9 + 5z + -5z Combine like terms: 5z + -5z = 0 54 + -3z = -9 + 0 54 + -3z = -9 Add '-54' to each side of the equation. 54 + -54 + -3z = -9 + -54 Combine like terms: 54 + -54 = 0 0 + -3z = -9 + -54 -3z = -9 + -54 Combine like terms: -9 + -54 = -63 -3z = -63 Divide each side by '-3'. z = 21 Simplifying z = 21
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