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Simplifying -9z + 3(2z + -3) = -10 + -2z Reorder the terms: -9z + 3(-3 + 2z) = -10 + -2z -9z + (-3 * 3 + 2z * 3) = -10 + -2z -9z + (-9 + 6z) = -10 + -2z Reorder the terms: -9 + -9z + 6z = -10 + -2z Combine like terms: -9z + 6z = -3z -9 + -3z = -10 + -2z Solving -9 + -3z = -10 + -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. -9 + -3z + 2z = -10 + -2z + 2z Combine like terms: -3z + 2z = -1z -9 + -1z = -10 + -2z + 2z Combine like terms: -2z + 2z = 0 -9 + -1z = -10 + 0 -9 + -1z = -10 Add '9' to each side of the equation. -9 + 9 + -1z = -10 + 9 Combine like terms: -9 + 9 = 0 0 + -1z = -10 + 9 -1z = -10 + 9 Combine like terms: -10 + 9 = -1 -1z = -1 Divide each side by '-1'. z = 1 Simplifying z = 1
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