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Simplifying 7(z + 2) = 5(3 + 5z) + -18 Reorder the terms: 7(2 + z) = 5(3 + 5z) + -18 (2 * 7 + z * 7) = 5(3 + 5z) + -18 (14 + 7z) = 5(3 + 5z) + -18 14 + 7z = (3 * 5 + 5z * 5) + -18 14 + 7z = (15 + 25z) + -18 Reorder the terms: 14 + 7z = 15 + -18 + 25z Combine like terms: 15 + -18 = -3 14 + 7z = -3 + 25z Solving 14 + 7z = -3 + 25z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-25z' to each side of the equation. 14 + 7z + -25z = -3 + 25z + -25z Combine like terms: 7z + -25z = -18z 14 + -18z = -3 + 25z + -25z Combine like terms: 25z + -25z = 0 14 + -18z = -3 + 0 14 + -18z = -3 Add '-14' to each side of the equation. 14 + -14 + -18z = -3 + -14 Combine like terms: 14 + -14 = 0 0 + -18z = -3 + -14 -18z = -3 + -14 Combine like terms: -3 + -14 = -17 -18z = -17 Divide each side by '-18'. z = 0.9444444444 Simplifying z = 0.9444444444
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