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Simplifying 7(z + -9) = 4(z + 38) Reorder the terms: 7(-9 + z) = 4(z + 38) (-9 * 7 + z * 7) = 4(z + 38) (-63 + 7z) = 4(z + 38) Reorder the terms: -63 + 7z = 4(38 + z) -63 + 7z = (38 * 4 + z * 4) -63 + 7z = (152 + 4z) Solving -63 + 7z = 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. -63 + 7z + -4z = 152 + 4z + -4z Combine like terms: 7z + -4z = 3z -63 + 3z = 152 + 4z + -4z Combine like terms: 4z + -4z = 0 -63 + 3z = 152 + 0 -63 + 3z = 152 Add '63' to each side of the equation. -63 + 63 + 3z = 152 + 63 Combine like terms: -63 + 63 = 0 0 + 3z = 152 + 63 3z = 152 + 63 Combine like terms: 152 + 63 = 215 3z = 215 Divide each side by '3'. z = 71.66666667 Simplifying z = 71.66666667
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