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Simplifying [2z + -1(11 + 2)] = 2 + (6z + 6) Combine like terms: 11 + 2 = 13 [2z + -1(13)] = 2 + (6z + 6) Multiply -1 * 13 [2z + -13] = 2 + (6z + 6) Reorder the terms: [-13 + 2z] = 2 + (6z + 6) Remove brackets around [-13 + 2z] -13 + 2z = 2 + (6z + 6) Reorder the terms: -13 + 2z = 2 + (6 + 6z) Remove parenthesis around (6 + 6z) -13 + 2z = 2 + 6 + 6z Combine like terms: 2 + 6 = 8 -13 + 2z = 8 + 6z Solving -13 + 2z = 8 + 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. -13 + 2z + -6z = 8 + 6z + -6z Combine like terms: 2z + -6z = -4z -13 + -4z = 8 + 6z + -6z Combine like terms: 6z + -6z = 0 -13 + -4z = 8 + 0 -13 + -4z = 8 Add '13' to each side of the equation. -13 + 13 + -4z = 8 + 13 Combine like terms: -13 + 13 = 0 0 + -4z = 8 + 13 -4z = 8 + 13 Combine like terms: 8 + 13 = 21 -4z = 21 Divide each side by '-4'. z = -5.25 Simplifying z = -5.25
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