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Simplifying -1(3z + 4) = 6z + -3 Reorder the terms: -1(4 + 3z) = 6z + -3 (4 * -1 + 3z * -1) = 6z + -3 (-4 + -3z) = 6z + -3 Reorder the terms: -4 + -3z = -3 + 6z Solving -4 + -3z = -3 + 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. -4 + -3z + -6z = -3 + 6z + -6z Combine like terms: -3z + -6z = -9z -4 + -9z = -3 + 6z + -6z Combine like terms: 6z + -6z = 0 -4 + -9z = -3 + 0 -4 + -9z = -3 Add '4' to each side of the equation. -4 + 4 + -9z = -3 + 4 Combine like terms: -4 + 4 = 0 0 + -9z = -3 + 4 -9z = -3 + 4 Combine like terms: -3 + 4 = 1 -9z = 1 Divide each side by '-9'. z = -0.1111111111 Simplifying z = -0.1111111111
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