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Simplifying -3(2z + -5) = -2z + -3z + 21 Reorder the terms: -3(-5 + 2z) = -2z + -3z + 21 (-5 * -3 + 2z * -3) = -2z + -3z + 21 (15 + -6z) = -2z + -3z + 21 Reorder the terms: 15 + -6z = 21 + -2z + -3z Combine like terms: -2z + -3z = -5z 15 + -6z = 21 + -5z Solving 15 + -6z = 21 + -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. 15 + -6z + 5z = 21 + -5z + 5z Combine like terms: -6z + 5z = -1z 15 + -1z = 21 + -5z + 5z Combine like terms: -5z + 5z = 0 15 + -1z = 21 + 0 15 + -1z = 21 Add '-15' to each side of the equation. 15 + -15 + -1z = 21 + -15 Combine like terms: 15 + -15 = 0 0 + -1z = 21 + -15 -1z = 21 + -15 Combine like terms: 21 + -15 = 6 -1z = 6 Divide each side by '-1'. z = -6 Simplifying z = -6
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