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Simplifying -11(z + 2) + 4(4z + -3) = 4(z + -5) + 11 Reorder the terms: -11(2 + z) + 4(4z + -3) = 4(z + -5) + 11 (2 * -11 + z * -11) + 4(4z + -3) = 4(z + -5) + 11 (-22 + -11z) + 4(4z + -3) = 4(z + -5) + 11 Reorder the terms: -22 + -11z + 4(-3 + 4z) = 4(z + -5) + 11 -22 + -11z + (-3 * 4 + 4z * 4) = 4(z + -5) + 11 -22 + -11z + (-12 + 16z) = 4(z + -5) + 11 Reorder the terms: -22 + -12 + -11z + 16z = 4(z + -5) + 11 Combine like terms: -22 + -12 = -34 -34 + -11z + 16z = 4(z + -5) + 11 Combine like terms: -11z + 16z = 5z -34 + 5z = 4(z + -5) + 11 Reorder the terms: -34 + 5z = 4(-5 + z) + 11 -34 + 5z = (-5 * 4 + z * 4) + 11 -34 + 5z = (-20 + 4z) + 11 Reorder the terms: -34 + 5z = -20 + 11 + 4z Combine like terms: -20 + 11 = -9 -34 + 5z = -9 + 4z Solving -34 + 5z = -9 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. -34 + 5z + -4z = -9 + 4z + -4z Combine like terms: 5z + -4z = 1z -34 + 1z = -9 + 4z + -4z Combine like terms: 4z + -4z = 0 -34 + 1z = -9 + 0 -34 + 1z = -9 Add '34' to each side of the equation. -34 + 34 + 1z = -9 + 34 Combine like terms: -34 + 34 = 0 0 + 1z = -9 + 34 1z = -9 + 34 Combine like terms: -9 + 34 = 25 1z = 25 Divide each side by '1'. z = 25 Simplifying z = 25
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