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Simplifying 4(z + -1) + -1(3 + -8z) = 11z Reorder the terms: 4(-1 + z) + -1(3 + -8z) = 11z (-1 * 4 + z * 4) + -1(3 + -8z) = 11z (-4 + 4z) + -1(3 + -8z) = 11z -4 + 4z + (3 * -1 + -8z * -1) = 11z -4 + 4z + (-3 + 8z) = 11z Reorder the terms: -4 + -3 + 4z + 8z = 11z Combine like terms: -4 + -3 = -7 -7 + 4z + 8z = 11z Combine like terms: 4z + 8z = 12z -7 + 12z = 11z Solving -7 + 12z = 11z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-11z' to each side of the equation. -7 + 12z + -11z = 11z + -11z Combine like terms: 12z + -11z = 1z -7 + 1z = 11z + -11z Combine like terms: 11z + -11z = 0 -7 + 1z = 0 Add '7' to each side of the equation. -7 + 7 + 1z = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 1z = 0 + 7 1z = 0 + 7 Combine like terms: 0 + 7 = 7 1z = 7 Divide each side by '1'. z = 7 Simplifying z = 7
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