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Simplifying 5 + (-7z + 8) = -3(3z + 5) + -5 Reorder the terms: 5 + (8 + -7z) = -3(3z + 5) + -5 Remove parenthesis around (8 + -7z) 5 + 8 + -7z = -3(3z + 5) + -5 Combine like terms: 5 + 8 = 13 13 + -7z = -3(3z + 5) + -5 Reorder the terms: 13 + -7z = -3(5 + 3z) + -5 13 + -7z = (5 * -3 + 3z * -3) + -5 13 + -7z = (-15 + -9z) + -5 Reorder the terms: 13 + -7z = -15 + -5 + -9z Combine like terms: -15 + -5 = -20 13 + -7z = -20 + -9z Solving 13 + -7z = -20 + -9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '9z' to each side of the equation. 13 + -7z + 9z = -20 + -9z + 9z Combine like terms: -7z + 9z = 2z 13 + 2z = -20 + -9z + 9z Combine like terms: -9z + 9z = 0 13 + 2z = -20 + 0 13 + 2z = -20 Add '-13' to each side of the equation. 13 + -13 + 2z = -20 + -13 Combine like terms: 13 + -13 = 0 0 + 2z = -20 + -13 2z = -20 + -13 Combine like terms: -20 + -13 = -33 2z = -33 Divide each side by '2'. z = -16.5 Simplifying z = -16.5
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