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Simplifying z + -4 = 15z + 10 Reorder the terms: -4 + z = 15z + 10 Reorder the terms: -4 + z = 10 + 15z Solving -4 + z = 10 + 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. -4 + z + -15z = 10 + 15z + -15z Combine like terms: z + -15z = -14z -4 + -14z = 10 + 15z + -15z Combine like terms: 15z + -15z = 0 -4 + -14z = 10 + 0 -4 + -14z = 10 Add '4' to each side of the equation. -4 + 4 + -14z = 10 + 4 Combine like terms: -4 + 4 = 0 0 + -14z = 10 + 4 -14z = 10 + 4 Combine like terms: 10 + 4 = 14 -14z = 14 Divide each side by '-14'. z = -1 Simplifying z = -1
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