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Simplifying -20 + -9z = -5 + -7(7z + -15) Reorder the terms: -20 + -9z = -5 + -7(-15 + 7z) -20 + -9z = -5 + (-15 * -7 + 7z * -7) -20 + -9z = -5 + (105 + -49z) Combine like terms: -5 + 105 = 100 -20 + -9z = 100 + -49z Solving -20 + -9z = 100 + -49z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '49z' to each side of the equation. -20 + -9z + 49z = 100 + -49z + 49z Combine like terms: -9z + 49z = 40z -20 + 40z = 100 + -49z + 49z Combine like terms: -49z + 49z = 0 -20 + 40z = 100 + 0 -20 + 40z = 100 Add '20' to each side of the equation. -20 + 20 + 40z = 100 + 20 Combine like terms: -20 + 20 = 0 0 + 40z = 100 + 20 40z = 100 + 20 Combine like terms: 100 + 20 = 120 40z = 120 Divide each side by '40'. z = 3 Simplifying z = 3
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