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Simplifying (-15) + -1z = (-9) + z -15 + -1z = (-9) + z -15 + -1z = -9 + z Solving -15 + -1z = -9 + 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. -15 + -1z + -1z = -9 + z + -1z Combine like terms: -1z + -1z = -2z -15 + -2z = -9 + z + -1z Combine like terms: z + -1z = 0 -15 + -2z = -9 + 0 -15 + -2z = -9 Add '15' to each side of the equation. -15 + 15 + -2z = -9 + 15 Combine like terms: -15 + 15 = 0 0 + -2z = -9 + 15 -2z = -9 + 15 Combine like terms: -9 + 15 = 6 -2z = 6 Divide each side by '-2'. z = -3 Simplifying z = -3
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