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Simplifying 4z + 16z + -45 = 32z + -13 + -23 Reorder the terms: -45 + 4z + 16z = 32z + -13 + -23 Combine like terms: 4z + 16z = 20z -45 + 20z = 32z + -13 + -23 Reorder the terms: -45 + 20z = -13 + -23 + 32z Combine like terms: -13 + -23 = -36 -45 + 20z = -36 + 32z Solving -45 + 20z = -36 + 32z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-32z' to each side of the equation. -45 + 20z + -32z = -36 + 32z + -32z Combine like terms: 20z + -32z = -12z -45 + -12z = -36 + 32z + -32z Combine like terms: 32z + -32z = 0 -45 + -12z = -36 + 0 -45 + -12z = -36 Add '45' to each side of the equation. -45 + 45 + -12z = -36 + 45 Combine like terms: -45 + 45 = 0 0 + -12z = -36 + 45 -12z = -36 + 45 Combine like terms: -36 + 45 = 9 -12z = 9 Divide each side by '-12'. z = -0.75 Simplifying z = -0.75
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