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Simplifying 2(z + -1) = 5(z + 2) + -3 Reorder the terms: 2(-1 + z) = 5(z + 2) + -3 (-1 * 2 + z * 2) = 5(z + 2) + -3 (-2 + 2z) = 5(z + 2) + -3 Reorder the terms: -2 + 2z = 5(2 + z) + -3 -2 + 2z = (2 * 5 + z * 5) + -3 -2 + 2z = (10 + 5z) + -3 Reorder the terms: -2 + 2z = 10 + -3 + 5z Combine like terms: 10 + -3 = 7 -2 + 2z = 7 + 5z Solving -2 + 2z = 7 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. -2 + 2z + -5z = 7 + 5z + -5z Combine like terms: 2z + -5z = -3z -2 + -3z = 7 + 5z + -5z Combine like terms: 5z + -5z = 0 -2 + -3z = 7 + 0 -2 + -3z = 7 Add '2' to each side of the equation. -2 + 2 + -3z = 7 + 2 Combine like terms: -2 + 2 = 0 0 + -3z = 7 + 2 -3z = 7 + 2 Combine like terms: 7 + 2 = 9 -3z = 9 Divide each side by '-3'. z = -3 Simplifying z = -3
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