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Simplifying 4(-1z + 20) + 19 = 7z Reorder the terms: 4(20 + -1z) + 19 = 7z (20 * 4 + -1z * 4) + 19 = 7z (80 + -4z) + 19 = 7z Reorder the terms: 80 + 19 + -4z = 7z Combine like terms: 80 + 19 = 99 99 + -4z = 7z Solving 99 + -4z = 7z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-7z' to each side of the equation. 99 + -4z + -7z = 7z + -7z Combine like terms: -4z + -7z = -11z 99 + -11z = 7z + -7z Combine like terms: 7z + -7z = 0 99 + -11z = 0 Add '-99' to each side of the equation. 99 + -99 + -11z = 0 + -99 Combine like terms: 99 + -99 = 0 0 + -11z = 0 + -99 -11z = 0 + -99 Combine like terms: 0 + -99 = -99 -11z = -99 Divide each side by '-11'. z = 9 Simplifying z = 9
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