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Simplifying z + -45z + -14 = 25(z + -78) Reorder the terms: -14 + z + -45z = 25(z + -78) Combine like terms: z + -45z = -44z -14 + -44z = 25(z + -78) Reorder the terms: -14 + -44z = 25(-78 + z) -14 + -44z = (-78 * 25 + z * 25) -14 + -44z = (-1950 + 25z) Solving -14 + -44z = -1950 + 25z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-25z' to each side of the equation. -14 + -44z + -25z = -1950 + 25z + -25z Combine like terms: -44z + -25z = -69z -14 + -69z = -1950 + 25z + -25z Combine like terms: 25z + -25z = 0 -14 + -69z = -1950 + 0 -14 + -69z = -1950 Add '14' to each side of the equation. -14 + 14 + -69z = -1950 + 14 Combine like terms: -14 + 14 = 0 0 + -69z = -1950 + 14 -69z = -1950 + 14 Combine like terms: -1950 + 14 = -1936 -69z = -1936 Divide each side by '-69'. z = 28.05797101 Simplifying z = 28.05797101
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