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Simplifying 2z + -3(z + 1) = (6z + 3) + z Reorder the terms: 2z + -3(1 + z) = (6z + 3) + z 2z + (1 * -3 + z * -3) = (6z + 3) + z 2z + (-3 + -3z) = (6z + 3) + z Reorder the terms: -3 + 2z + -3z = (6z + 3) + z Combine like terms: 2z + -3z = -1z -3 + -1z = (6z + 3) + z Reorder the terms: -3 + -1z = (3 + 6z) + z Remove parenthesis around (3 + 6z) -3 + -1z = 3 + 6z + z Combine like terms: 6z + z = 7z -3 + -1z = 3 + 7z Solving -3 + -1z = 3 + 7z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-7z' to each side of the equation. -3 + -1z + -7z = 3 + 7z + -7z Combine like terms: -1z + -7z = -8z -3 + -8z = 3 + 7z + -7z Combine like terms: 7z + -7z = 0 -3 + -8z = 3 + 0 -3 + -8z = 3 Add '3' to each side of the equation. -3 + 3 + -8z = 3 + 3 Combine like terms: -3 + 3 = 0 0 + -8z = 3 + 3 -8z = 3 + 3 Combine like terms: 3 + 3 = 6 -8z = 6 Divide each side by '-8'. z = -0.75 Simplifying z = -0.75
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