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Simplifying -2 + 6(-2z + -2) = -3(8z + 7) + 6 Reorder the terms: -2 + 6(-2 + -2z) = -3(8z + 7) + 6 -2 + (-2 * 6 + -2z * 6) = -3(8z + 7) + 6 -2 + (-12 + -12z) = -3(8z + 7) + 6 Combine like terms: -2 + -12 = -14 -14 + -12z = -3(8z + 7) + 6 Reorder the terms: -14 + -12z = -3(7 + 8z) + 6 -14 + -12z = (7 * -3 + 8z * -3) + 6 -14 + -12z = (-21 + -24z) + 6 Reorder the terms: -14 + -12z = -21 + 6 + -24z Combine like terms: -21 + 6 = -15 -14 + -12z = -15 + -24z Solving -14 + -12z = -15 + -24z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '24z' to each side of the equation. -14 + -12z + 24z = -15 + -24z + 24z Combine like terms: -12z + 24z = 12z -14 + 12z = -15 + -24z + 24z Combine like terms: -24z + 24z = 0 -14 + 12z = -15 + 0 -14 + 12z = -15 Add '14' to each side of the equation. -14 + 14 + 12z = -15 + 14 Combine like terms: -14 + 14 = 0 0 + 12z = -15 + 14 12z = -15 + 14 Combine like terms: -15 + 14 = -1 12z = -1 Divide each side by '12'. z = -0.08333333333 Simplifying z = -0.08333333333
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