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Simplifying 3(2z + -7) + 3z + -5 = 10 Reorder the terms: 3(-7 + 2z) + 3z + -5 = 10 (-7 * 3 + 2z * 3) + 3z + -5 = 10 (-21 + 6z) + 3z + -5 = 10 Reorder the terms: -21 + -5 + 6z + 3z = 10 Combine like terms: -21 + -5 = -26 -26 + 6z + 3z = 10 Combine like terms: 6z + 3z = 9z -26 + 9z = 10 Solving -26 + 9z = 10 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '26' to each side of the equation. -26 + 26 + 9z = 10 + 26 Combine like terms: -26 + 26 = 0 0 + 9z = 10 + 26 9z = 10 + 26 Combine like terms: 10 + 26 = 36 9z = 36 Divide each side by '9'. z = 4 Simplifying z = 4
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