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Simplifying 11(z + 2) + 4(4z + -6) = 4(z + -3) + 10 Reorder the terms: 11(2 + z) + 4(4z + -6) = 4(z + -3) + 10 (2 * 11 + z * 11) + 4(4z + -6) = 4(z + -3) + 10 (22 + 11z) + 4(4z + -6) = 4(z + -3) + 10 Reorder the terms: 22 + 11z + 4(-6 + 4z) = 4(z + -3) + 10 22 + 11z + (-6 * 4 + 4z * 4) = 4(z + -3) + 10 22 + 11z + (-24 + 16z) = 4(z + -3) + 10 Reorder the terms: 22 + -24 + 11z + 16z = 4(z + -3) + 10 Combine like terms: 22 + -24 = -2 -2 + 11z + 16z = 4(z + -3) + 10 Combine like terms: 11z + 16z = 27z -2 + 27z = 4(z + -3) + 10 Reorder the terms: -2 + 27z = 4(-3 + z) + 10 -2 + 27z = (-3 * 4 + z * 4) + 10 -2 + 27z = (-12 + 4z) + 10 Reorder the terms: -2 + 27z = -12 + 10 + 4z Combine like terms: -12 + 10 = -2 -2 + 27z = -2 + 4z Add '2' to each side of the equation. -2 + 2 + 27z = -2 + 2 + 4z Combine like terms: -2 + 2 = 0 0 + 27z = -2 + 2 + 4z 27z = -2 + 2 + 4z Combine like terms: -2 + 2 = 0 27z = 0 + 4z 27z = 4z Solving 27z = 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. 27z + -4z = 4z + -4z Combine like terms: 27z + -4z = 23z 23z = 4z + -4z Combine like terms: 4z + -4z = 0 23z = 0 Divide each side by '23'. z = 0 Simplifying z = 0
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