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Simplifying 8[z + -1(8z + 75) + 5] = z + 10 Reorder the terms: 8[z + -1(75 + 8z) + 5] = z + 10 8[z + (75 * -1 + 8z * -1) + 5] = z + 10 8[z + (-75 + -8z) + 5] = z + 10 Reorder the terms: 8[-75 + 5 + z + -8z] = z + 10 Combine like terms: -75 + 5 = -70 8[-70 + z + -8z] = z + 10 Combine like terms: z + -8z = -7z 8[-70 + -7z] = z + 10 [-70 * 8 + -7z * 8] = z + 10 [-560 + -56z] = z + 10 Reorder the terms: -560 + -56z = 10 + z Solving -560 + -56z = 10 + z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. -560 + -56z + -1z = 10 + z + -1z Combine like terms: -56z + -1z = -57z -560 + -57z = 10 + z + -1z Combine like terms: z + -1z = 0 -560 + -57z = 10 + 0 -560 + -57z = 10 Add '560' to each side of the equation. -560 + 560 + -57z = 10 + 560 Combine like terms: -560 + 560 = 0 0 + -57z = 10 + 560 -57z = 10 + 560 Combine like terms: 10 + 560 = 570 -57z = 570 Divide each side by '-57'. z = -10 Simplifying z = -10
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