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Simplifying 7(2 + 11) = 4(z + 38) Combine like terms: 2 + 11 = 13 7(13) = 4(z + 38) Multiply 7 * 13 91 = 4(z + 38) Reorder the terms: 91 = 4(38 + z) 91 = (38 * 4 + z * 4) 91 = (152 + 4z) Solving 91 = 152 + 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. 91 + -4z = 152 + 4z + -4z Combine like terms: 4z + -4z = 0 91 + -4z = 152 + 0 91 + -4z = 152 Add '-91' to each side of the equation. 91 + -91 + -4z = 152 + -91 Combine like terms: 91 + -91 = 0 0 + -4z = 152 + -91 -4z = 152 + -91 Combine like terms: 152 + -91 = 61 -4z = 61 Divide each side by '-4'. z = -15.25 Simplifying z = -15.25
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