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Simplifying -5 + -7(1 + 8z) = 30 -5 + (1 * -7 + 8z * -7) = 30 -5 + (-7 + -56z) = 30 Combine like terms: -5 + -7 = -12 -12 + -56z = 30 Solving -12 + -56z = 30 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -56z = 30 + 12 Combine like terms: -12 + 12 = 0 0 + -56z = 30 + 12 -56z = 30 + 12 Combine like terms: 30 + 12 = 42 -56z = 42 Divide each side by '-56'. z = -0.75 Simplifying z = -0.75
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