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Simplifying 19z + -1 = 15z + -45 Reorder the terms: -1 + 19z = 15z + -45 Reorder the terms: -1 + 19z = -45 + 15z Solving -1 + 19z = -45 + 15z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-15z' to each side of the equation. -1 + 19z + -15z = -45 + 15z + -15z Combine like terms: 19z + -15z = 4z -1 + 4z = -45 + 15z + -15z Combine like terms: 15z + -15z = 0 -1 + 4z = -45 + 0 -1 + 4z = -45 Add '1' to each side of the equation. -1 + 1 + 4z = -45 + 1 Combine like terms: -1 + 1 = 0 0 + 4z = -45 + 1 4z = -45 + 1 Combine like terms: -45 + 1 = -44 4z = -44 Divide each side by '4'. z = -11 Simplifying z = -11
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