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Simplifying 3z2 + -4z = 3z(z + 2) + -1(12 + -1z) Reorder the terms: -4z + 3z2 = 3z(z + 2) + -1(12 + -1z) Reorder the terms: -4z + 3z2 = 3z(2 + z) + -1(12 + -1z) -4z + 3z2 = (2 * 3z + z * 3z) + -1(12 + -1z) -4z + 3z2 = (6z + 3z2) + -1(12 + -1z) -4z + 3z2 = 6z + 3z2 + (12 * -1 + -1z * -1) -4z + 3z2 = 6z + 3z2 + (-12 + 1z) Reorder the terms: -4z + 3z2 = -12 + 6z + 1z + 3z2 Combine like terms: 6z + 1z = 7z -4z + 3z2 = -12 + 7z + 3z2 Add '-3z2' to each side of the equation. -4z + 3z2 + -3z2 = -12 + 7z + 3z2 + -3z2 Combine like terms: 3z2 + -3z2 = 0 -4z + 0 = -12 + 7z + 3z2 + -3z2 -4z = -12 + 7z + 3z2 + -3z2 Combine like terms: 3z2 + -3z2 = 0 -4z = -12 + 7z + 0 -4z = -12 + 7z Solving -4z = -12 + 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. -4z + -7z = -12 + 7z + -7z Combine like terms: -4z + -7z = -11z -11z = -12 + 7z + -7z Combine like terms: 7z + -7z = 0 -11z = -12 + 0 -11z = -12 Divide each side by '-11'. z = 1.090909091 Simplifying z = 1.090909091
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