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Simplifying 8 + -3(6z + 4) = 2(-6z + -7) + 5 Reorder the terms: 8 + -3(4 + 6z) = 2(-6z + -7) + 5 8 + (4 * -3 + 6z * -3) = 2(-6z + -7) + 5 8 + (-12 + -18z) = 2(-6z + -7) + 5 Combine like terms: 8 + -12 = -4 -4 + -18z = 2(-6z + -7) + 5 Reorder the terms: -4 + -18z = 2(-7 + -6z) + 5 -4 + -18z = (-7 * 2 + -6z * 2) + 5 -4 + -18z = (-14 + -12z) + 5 Reorder the terms: -4 + -18z = -14 + 5 + -12z Combine like terms: -14 + 5 = -9 -4 + -18z = -9 + -12z Solving -4 + -18z = -9 + -12z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '12z' to each side of the equation. -4 + -18z + 12z = -9 + -12z + 12z Combine like terms: -18z + 12z = -6z -4 + -6z = -9 + -12z + 12z Combine like terms: -12z + 12z = 0 -4 + -6z = -9 + 0 -4 + -6z = -9 Add '4' to each side of the equation. -4 + 4 + -6z = -9 + 4 Combine like terms: -4 + 4 = 0 0 + -6z = -9 + 4 -6z = -9 + 4 Combine like terms: -9 + 4 = -5 -6z = -5 Divide each side by '-6'. z = 0.8333333333 Simplifying z = 0.8333333333
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