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Simplifying -34z + -89 = -1z + -1(-41) Reorder the terms: -89 + -34z = -1z + -1(-41) Multiply -1 * -41 -89 + -34z = -1z + 41 Reorder the terms: -89 + -34z = 41 + -1z Solving -89 + -34z = 41 + -1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add 'z' to each side of the equation. -89 + -34z + z = 41 + -1z + z Combine like terms: -34z + z = -33z -89 + -33z = 41 + -1z + z Combine like terms: -1z + z = 0 -89 + -33z = 41 + 0 -89 + -33z = 41 Add '89' to each side of the equation. -89 + 89 + -33z = 41 + 89 Combine like terms: -89 + 89 = 0 0 + -33z = 41 + 89 -33z = 41 + 89 Combine like terms: 41 + 89 = 130 -33z = 130 Divide each side by '-33'. z = -3.939393939 Simplifying z = -3.939393939
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