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Simplifying -5.04 = [-18.48 + -1(20.09)] + z Multiply -1 * 20.09 -5.04 = [-18.48 + -20.09] + z Combine like terms: -18.48 + -20.09 = -38.57 -5.04 = [-38.57] + z -5.04 = -38.57 + z Solving -5.04 = -38.57 + 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. -5.04 + -1z = -38.57 + z + -1z Combine like terms: z + -1z = 0 -5.04 + -1z = -38.57 + 0 -5.04 + -1z = -38.57 Add '5.04' to each side of the equation. -5.04 + 5.04 + -1z = -38.57 + 5.04 Combine like terms: -5.04 + 5.04 = 0.00 0.00 + -1z = -38.57 + 5.04 -1z = -38.57 + 5.04 Combine like terms: -38.57 + 5.04 = -33.53 -1z = -33.53 Divide each side by '-1'. z = 33.53 Simplifying z = 33.53
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