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Simplifying -11(z + 2) + 5(3z + -6) = 3(z + -6) + 10 Reorder the terms: -11(2 + z) + 5(3z + -6) = 3(z + -6) + 10 (2 * -11 + z * -11) + 5(3z + -6) = 3(z + -6) + 10 (-22 + -11z) + 5(3z + -6) = 3(z + -6) + 10 Reorder the terms: -22 + -11z + 5(-6 + 3z) = 3(z + -6) + 10 -22 + -11z + (-6 * 5 + 3z * 5) = 3(z + -6) + 10 -22 + -11z + (-30 + 15z) = 3(z + -6) + 10 Reorder the terms: -22 + -30 + -11z + 15z = 3(z + -6) + 10 Combine like terms: -22 + -30 = -52 -52 + -11z + 15z = 3(z + -6) + 10 Combine like terms: -11z + 15z = 4z -52 + 4z = 3(z + -6) + 10 Reorder the terms: -52 + 4z = 3(-6 + z) + 10 -52 + 4z = (-6 * 3 + z * 3) + 10 -52 + 4z = (-18 + 3z) + 10 Reorder the terms: -52 + 4z = -18 + 10 + 3z Combine like terms: -18 + 10 = -8 -52 + 4z = -8 + 3z Solving -52 + 4z = -8 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. -52 + 4z + -3z = -8 + 3z + -3z Combine like terms: 4z + -3z = 1z -52 + 1z = -8 + 3z + -3z Combine like terms: 3z + -3z = 0 -52 + 1z = -8 + 0 -52 + 1z = -8 Add '52' to each side of the equation. -52 + 52 + 1z = -8 + 52 Combine like terms: -52 + 52 = 0 0 + 1z = -8 + 52 1z = -8 + 52 Combine like terms: -8 + 52 = 44 1z = 44 Divide each side by '1'. z = 44 Simplifying z = 44
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