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Simplifying 2(z + -2) = 5(z + 1) + -3 Reorder the terms: 2(-2 + z) = 5(z + 1) + -3 (-2 * 2 + z * 2) = 5(z + 1) + -3 (-4 + 2z) = 5(z + 1) + -3 Reorder the terms: -4 + 2z = 5(1 + z) + -3 -4 + 2z = (1 * 5 + z * 5) + -3 -4 + 2z = (5 + 5z) + -3 Reorder the terms: -4 + 2z = 5 + -3 + 5z Combine like terms: 5 + -3 = 2 -4 + 2z = 2 + 5z Solving -4 + 2z = 2 + 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. -4 + 2z + -5z = 2 + 5z + -5z Combine like terms: 2z + -5z = -3z -4 + -3z = 2 + 5z + -5z Combine like terms: 5z + -5z = 0 -4 + -3z = 2 + 0 -4 + -3z = 2 Add '4' to each side of the equation. -4 + 4 + -3z = 2 + 4 Combine like terms: -4 + 4 = 0 0 + -3z = 2 + 4 -3z = 2 + 4 Combine like terms: 2 + 4 = 6 -3z = 6 Divide each side by '-3'. z = -2 Simplifying z = -2
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