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Simplifying -5(z + 1) = 2z + 10 Reorder the terms: -5(1 + z) = 2z + 10 (1 * -5 + z * -5) = 2z + 10 (-5 + -5z) = 2z + 10 Reorder the terms: -5 + -5z = 10 + 2z Solving -5 + -5z = 10 + 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. -5 + -5z + -2z = 10 + 2z + -2z Combine like terms: -5z + -2z = -7z -5 + -7z = 10 + 2z + -2z Combine like terms: 2z + -2z = 0 -5 + -7z = 10 + 0 -5 + -7z = 10 Add '5' to each side of the equation. -5 + 5 + -7z = 10 + 5 Combine like terms: -5 + 5 = 0 0 + -7z = 10 + 5 -7z = 10 + 5 Combine like terms: 10 + 5 = 15 -7z = 15 Divide each side by '-7'. z = -2.142857143 Simplifying z = -2.142857143
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