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Simplifying 2z + -5 + -10 = -8 + -2z Reorder the terms: -5 + -10 + 2z = -8 + -2z Combine like terms: -5 + -10 = -15 -15 + 2z = -8 + -2z Solving -15 + 2z = -8 + -2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '2z' to each side of the equation. -15 + 2z + 2z = -8 + -2z + 2z Combine like terms: 2z + 2z = 4z -15 + 4z = -8 + -2z + 2z Combine like terms: -2z + 2z = 0 -15 + 4z = -8 + 0 -15 + 4z = -8 Add '15' to each side of the equation. -15 + 15 + 4z = -8 + 15 Combine like terms: -15 + 15 = 0 0 + 4z = -8 + 15 4z = -8 + 15 Combine like terms: -8 + 15 = 7 4z = 7 Divide each side by '4'. z = 1.75 Simplifying z = 1.75
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