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Simplifying -61(z + -94) = z + (-22) Reorder the terms: -61(-94 + z) = z + (-22) (-94 * -61 + z * -61) = z + (-22) (5734 + -61z) = z + (-22) 5734 + -61z = z + -22 Reorder the terms: 5734 + -61z = -22 + z Solving 5734 + -61z = -22 + z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. 5734 + -61z + -1z = -22 + z + -1z Combine like terms: -61z + -1z = -62z 5734 + -62z = -22 + z + -1z Combine like terms: z + -1z = 0 5734 + -62z = -22 + 0 5734 + -62z = -22 Add '-5734' to each side of the equation. 5734 + -5734 + -62z = -22 + -5734 Combine like terms: 5734 + -5734 = 0 0 + -62z = -22 + -5734 -62z = -22 + -5734 Combine like terms: -22 + -5734 = -5756 -62z = -5756 Divide each side by '-62'. z = 92.83870968 Simplifying z = 92.83870968
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