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Simplifying -30 = 4(z + 52) + 26 Reorder the terms: -30 = 4(52 + z) + 26 -30 = (52 * 4 + z * 4) + 26 -30 = (208 + 4z) + 26 Reorder the terms: -30 = 208 + 26 + 4z Combine like terms: 208 + 26 = 234 -30 = 234 + 4z Solving -30 = 234 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. -30 + -4z = 234 + 4z + -4z Combine like terms: 4z + -4z = 0 -30 + -4z = 234 + 0 -30 + -4z = 234 Add '30' to each side of the equation. -30 + 30 + -4z = 234 + 30 Combine like terms: -30 + 30 = 0 0 + -4z = 234 + 30 -4z = 234 + 30 Combine like terms: 234 + 30 = 264 -4z = 264 Divide each side by '-4'. z = -66 Simplifying z = -66
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