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Simplifying -1(3z + 4) = 6z + -3(3z + z) Reorder the terms: -1(4 + 3z) = 6z + -3(3z + z) (4 * -1 + 3z * -1) = 6z + -3(3z + z) (-4 + -3z) = 6z + -3(3z + z) Combine like terms: 3z + z = 4z -4 + -3z = 6z + -3(4z) Remove parenthesis around (4z) -4 + -3z = 6z + -3 * 4z Multiply -3 * 4 -4 + -3z = 6z + -12z Combine like terms: 6z + -12z = -6z -4 + -3z = -6z Solving -4 + -3z = -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 = -6z + 6z Combine like terms: -3z + 6z = 3z -4 + 3z = -6z + 6z Combine like terms: -6z + 6z = 0 -4 + 3z = 0 Add '4' to each side of the equation. -4 + 4 + 3z = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 3z = 0 + 4 3z = 0 + 4 Combine like terms: 0 + 4 = 4 3z = 4 Divide each side by '3'. z = 1.333333333 Simplifying z = 1.333333333
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