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Simplifying 2z + -3(z + 1) = 3z + 1 Reorder the terms: 2z + -3(1 + z) = 3z + 1 2z + (1 * -3 + z * -3) = 3z + 1 2z + (-3 + -3z) = 3z + 1 Reorder the terms: -3 + 2z + -3z = 3z + 1 Combine like terms: 2z + -3z = -1z -3 + -1z = 3z + 1 Reorder the terms: -3 + -1z = 1 + 3z Solving -3 + -1z = 1 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. -3 + -1z + -3z = 1 + 3z + -3z Combine like terms: -1z + -3z = -4z -3 + -4z = 1 + 3z + -3z Combine like terms: 3z + -3z = 0 -3 + -4z = 1 + 0 -3 + -4z = 1 Add '3' to each side of the equation. -3 + 3 + -4z = 1 + 3 Combine like terms: -3 + 3 = 0 0 + -4z = 1 + 3 -4z = 1 + 3 Combine like terms: 1 + 3 = 4 -4z = 4 Divide each side by '-4'. z = -1 Simplifying z = -1
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