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Simplifying 2z + -5(z + 2) = 8 + -2z Reorder the terms: 2z + -5(2 + z) = 8 + -2z 2z + (2 * -5 + z * -5) = 8 + -2z 2z + (-10 + -5z) = 8 + -2z Reorder the terms: -10 + 2z + -5z = 8 + -2z Combine like terms: 2z + -5z = -3z -10 + -3z = 8 + -2z Solving -10 + -3z = 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. -10 + -3z + 2z = 8 + -2z + 2z Combine like terms: -3z + 2z = -1z -10 + -1z = 8 + -2z + 2z Combine like terms: -2z + 2z = 0 -10 + -1z = 8 + 0 -10 + -1z = 8 Add '10' to each side of the equation. -10 + 10 + -1z = 8 + 10 Combine like terms: -10 + 10 = 0 0 + -1z = 8 + 10 -1z = 8 + 10 Combine like terms: 8 + 10 = 18 -1z = 18 Divide each side by '-1'. z = -18 Simplifying z = -18
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