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Simplifying -5 + -6(z + 2) = 2(-8 + 3) + -8 Reorder the terms: -5 + -6(2 + z) = 2(-8 + 3) + -8 -5 + (2 * -6 + z * -6) = 2(-8 + 3) + -8 -5 + (-12 + -6z) = 2(-8 + 3) + -8 Combine like terms: -5 + -12 = -17 -17 + -6z = 2(-8 + 3) + -8 Combine like terms: -8 + 3 = -5 -17 + -6z = 2(-5) + -8 Multiply 2 * -5 -17 + -6z = -10 + -8 Combine like terms: -10 + -8 = -18 -17 + -6z = -18 Solving -17 + -6z = -18 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + -6z = -18 + 17 Combine like terms: -17 + 17 = 0 0 + -6z = -18 + 17 -6z = -18 + 17 Combine like terms: -18 + 17 = -1 -6z = -1 Divide each side by '-6'. z = 0.1666666667 Simplifying z = 0.1666666667
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