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Simplifying -4 + -8(1 + 7z) = -24 -4 + (1 * -8 + 7z * -8) = -24 -4 + (-8 + -56z) = -24 Combine like terms: -4 + -8 = -12 -12 + -56z = -24 Solving -12 + -56z = -24 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 = -24 + 12 Combine like terms: -12 + 12 = 0 0 + -56z = -24 + 12 -56z = -24 + 12 Combine like terms: -24 + 12 = -12 -56z = -12 Divide each side by '-56'. z = 0.2142857143 Simplifying z = 0.2142857143
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