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Simplifying 3(3z + -2) + -3(4 + -2z) = 3 Reorder the terms: 3(-2 + 3z) + -3(4 + -2z) = 3 (-2 * 3 + 3z * 3) + -3(4 + -2z) = 3 (-6 + 9z) + -3(4 + -2z) = 3 -6 + 9z + (4 * -3 + -2z * -3) = 3 -6 + 9z + (-12 + 6z) = 3 Reorder the terms: -6 + -12 + 9z + 6z = 3 Combine like terms: -6 + -12 = -18 -18 + 9z + 6z = 3 Combine like terms: 9z + 6z = 15z -18 + 15z = 3 Solving -18 + 15z = 3 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 15z = 3 + 18 Combine like terms: -18 + 18 = 0 0 + 15z = 3 + 18 15z = 3 + 18 Combine like terms: 3 + 18 = 21 15z = 21 Divide each side by '15'. z = 1.4 Simplifying z = 1.4
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