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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 = -3z -5 + -3z = 10 + -2z + 2z Combine like terms: -2z + 2z = 0 -5 + -3z = 10 + 0 -5 + -3z = 10 Add '5' to each side of the equation. -5 + 5 + -3z = 10 + 5 Combine like terms: -5 + 5 = 0 0 + -3z = 10 + 5 -3z = 10 + 5 Combine like terms: 10 + 5 = 15 -3z = 15 Divide each side by '-3'. z = -5 Simplifying z = -5
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