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Simplifying 3(z + -2) + -1 = 2z + 9 Reorder the terms: 3(-2 + z) + -1 = 2z + 9 (-2 * 3 + z * 3) + -1 = 2z + 9 (-6 + 3z) + -1 = 2z + 9 Reorder the terms: -6 + -1 + 3z = 2z + 9 Combine like terms: -6 + -1 = -7 -7 + 3z = 2z + 9 Reorder the terms: -7 + 3z = 9 + 2z Solving -7 + 3z = 9 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. -7 + 3z + -2z = 9 + 2z + -2z Combine like terms: 3z + -2z = 1z -7 + 1z = 9 + 2z + -2z Combine like terms: 2z + -2z = 0 -7 + 1z = 9 + 0 -7 + 1z = 9 Add '7' to each side of the equation. -7 + 7 + 1z = 9 + 7 Combine like terms: -7 + 7 = 0 0 + 1z = 9 + 7 1z = 9 + 7 Combine like terms: 9 + 7 = 16 1z = 16 Divide each side by '1'. z = 16 Simplifying z = 16
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