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Simplifying 3(2z + -2) = -5(z + 3) Reorder the terms: 3(-2 + 2z) = -5(z + 3) (-2 * 3 + 2z * 3) = -5(z + 3) (-6 + 6z) = -5(z + 3) Reorder the terms: -6 + 6z = -5(3 + z) -6 + 6z = (3 * -5 + z * -5) -6 + 6z = (-15 + -5z) Solving -6 + 6z = -15 + -5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '5z' to each side of the equation. -6 + 6z + 5z = -15 + -5z + 5z Combine like terms: 6z + 5z = 11z -6 + 11z = -15 + -5z + 5z Combine like terms: -5z + 5z = 0 -6 + 11z = -15 + 0 -6 + 11z = -15 Add '6' to each side of the equation. -6 + 6 + 11z = -15 + 6 Combine like terms: -6 + 6 = 0 0 + 11z = -15 + 6 11z = -15 + 6 Combine like terms: -15 + 6 = -9 11z = -9 Divide each side by '11'. z = -0.8181818182 Simplifying z = -0.8181818182
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