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Simplifying 3(2z + -3) + -3 = 3z + -2(2z + -11) Reorder the terms: 3(-3 + 2z) + -3 = 3z + -2(2z + -11) (-3 * 3 + 2z * 3) + -3 = 3z + -2(2z + -11) (-9 + 6z) + -3 = 3z + -2(2z + -11) Reorder the terms: -9 + -3 + 6z = 3z + -2(2z + -11) Combine like terms: -9 + -3 = -12 -12 + 6z = 3z + -2(2z + -11) Reorder the terms: -12 + 6z = 3z + -2(-11 + 2z) -12 + 6z = 3z + (-11 * -2 + 2z * -2) -12 + 6z = 3z + (22 + -4z) Reorder the terms: -12 + 6z = 22 + 3z + -4z Combine like terms: 3z + -4z = -1z -12 + 6z = 22 + -1z Solving -12 + 6z = 22 + -1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add 'z' to each side of the equation. -12 + 6z + z = 22 + -1z + z Combine like terms: 6z + z = 7z -12 + 7z = 22 + -1z + z Combine like terms: -1z + z = 0 -12 + 7z = 22 + 0 -12 + 7z = 22 Add '12' to each side of the equation. -12 + 12 + 7z = 22 + 12 Combine like terms: -12 + 12 = 0 0 + 7z = 22 + 12 7z = 22 + 12 Combine like terms: 22 + 12 = 34 7z = 34 Divide each side by '7'. z = 4.857142857 Simplifying z = 4.857142857
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