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Simplifying 4(3z + -2) = 9z + -7 Reorder the terms: 4(-2 + 3z) = 9z + -7 (-2 * 4 + 3z * 4) = 9z + -7 (-8 + 12z) = 9z + -7 Reorder the terms: -8 + 12z = -7 + 9z Solving -8 + 12z = -7 + 9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-9z' to each side of the equation. -8 + 12z + -9z = -7 + 9z + -9z Combine like terms: 12z + -9z = 3z -8 + 3z = -7 + 9z + -9z Combine like terms: 9z + -9z = 0 -8 + 3z = -7 + 0 -8 + 3z = -7 Add '8' to each side of the equation. -8 + 8 + 3z = -7 + 8 Combine like terms: -8 + 8 = 0 0 + 3z = -7 + 8 3z = -7 + 8 Combine like terms: -7 + 8 = 1 3z = 1 Divide each side by '3'. z = 0.3333333333 Simplifying z = 0.3333333333
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