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Simplifying 5z + -12 + -1(6z + -5) = 8 Reorder the terms: 5z + -12 + -1(-5 + 6z) = 8 5z + -12 + (-5 * -1 + 6z * -1) = 8 5z + -12 + (5 + -6z) = 8 Reorder the terms: -12 + 5 + 5z + -6z = 8 Combine like terms: -12 + 5 = -7 -7 + 5z + -6z = 8 Combine like terms: 5z + -6z = -1z -7 + -1z = 8 Solving -7 + -1z = 8 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -1z = 8 + 7 Combine like terms: -7 + 7 = 0 0 + -1z = 8 + 7 -1z = 8 + 7 Combine like terms: 8 + 7 = 15 -1z = 15 Divide each side by '-1'. z = -15 Simplifying z = -15
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