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Simplifying 18 + -3(2z + 5) = 2z + -21 Reorder the terms: 18 + -3(5 + 2z) = 2z + -21 18 + (5 * -3 + 2z * -3) = 2z + -21 18 + (-15 + -6z) = 2z + -21 Combine like terms: 18 + -15 = 3 3 + -6z = 2z + -21 Reorder the terms: 3 + -6z = -21 + 2z Solving 3 + -6z = -21 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. 3 + -6z + -2z = -21 + 2z + -2z Combine like terms: -6z + -2z = -8z 3 + -8z = -21 + 2z + -2z Combine like terms: 2z + -2z = 0 3 + -8z = -21 + 0 3 + -8z = -21 Add '-3' to each side of the equation. 3 + -3 + -8z = -21 + -3 Combine like terms: 3 + -3 = 0 0 + -8z = -21 + -3 -8z = -21 + -3 Combine like terms: -21 + -3 = -24 -8z = -24 Divide each side by '-8'. z = 3 Simplifying z = 3
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