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Simplifying -9(z + 5) + -1(-7z + -7) = 3z Reorder the terms: -9(5 + z) + -1(-7z + -7) = 3z (5 * -9 + z * -9) + -1(-7z + -7) = 3z (-45 + -9z) + -1(-7z + -7) = 3z Reorder the terms: -45 + -9z + -1(-7 + -7z) = 3z -45 + -9z + (-7 * -1 + -7z * -1) = 3z -45 + -9z + (7 + 7z) = 3z Reorder the terms: -45 + 7 + -9z + 7z = 3z Combine like terms: -45 + 7 = -38 -38 + -9z + 7z = 3z Combine like terms: -9z + 7z = -2z -38 + -2z = 3z Solving -38 + -2z = 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. -38 + -2z + -3z = 3z + -3z Combine like terms: -2z + -3z = -5z -38 + -5z = 3z + -3z Combine like terms: 3z + -3z = 0 -38 + -5z = 0 Add '38' to each side of the equation. -38 + 38 + -5z = 0 + 38 Combine like terms: -38 + 38 = 0 0 + -5z = 0 + 38 -5z = 0 + 38 Combine like terms: 0 + 38 = 38 -5z = 38 Divide each side by '-5'. z = -7.6 Simplifying z = -7.6
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