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Simplifying 3(z + -1) = 5(z + 2) + -3 Reorder the terms: 3(-1 + z) = 5(z + 2) + -3 (-1 * 3 + z * 3) = 5(z + 2) + -3 (-3 + 3z) = 5(z + 2) + -3 Reorder the terms: -3 + 3z = 5(2 + z) + -3 -3 + 3z = (2 * 5 + z * 5) + -3 -3 + 3z = (10 + 5z) + -3 Reorder the terms: -3 + 3z = 10 + -3 + 5z Combine like terms: 10 + -3 = 7 -3 + 3z = 7 + 5z Solving -3 + 3z = 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. -3 + 3z + -5z = 7 + 5z + -5z Combine like terms: 3z + -5z = -2z -3 + -2z = 7 + 5z + -5z Combine like terms: 5z + -5z = 0 -3 + -2z = 7 + 0 -3 + -2z = 7 Add '3' to each side of the equation. -3 + 3 + -2z = 7 + 3 Combine like terms: -3 + 3 = 0 0 + -2z = 7 + 3 -2z = 7 + 3 Combine like terms: 7 + 3 = 10 -2z = 10 Divide each side by '-2'. z = -5 Simplifying z = -5
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