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Simplifying 15 + 9(2z + 1) + -3z = 50 + -7z + 4(2z + -8) Reorder the terms: 15 + 9(1 + 2z) + -3z = 50 + -7z + 4(2z + -8) 15 + (1 * 9 + 2z * 9) + -3z = 50 + -7z + 4(2z + -8) 15 + (9 + 18z) + -3z = 50 + -7z + 4(2z + -8) Combine like terms: 15 + 9 = 24 24 + 18z + -3z = 50 + -7z + 4(2z + -8) Combine like terms: 18z + -3z = 15z 24 + 15z = 50 + -7z + 4(2z + -8) Reorder the terms: 24 + 15z = 50 + -7z + 4(-8 + 2z) 24 + 15z = 50 + -7z + (-8 * 4 + 2z * 4) 24 + 15z = 50 + -7z + (-32 + 8z) Reorder the terms: 24 + 15z = 50 + -32 + -7z + 8z Combine like terms: 50 + -32 = 18 24 + 15z = 18 + -7z + 8z Combine like terms: -7z + 8z = 1z 24 + 15z = 18 + 1z Solving 24 + 15z = 18 + 1z 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. 24 + 15z + -1z = 18 + 1z + -1z Combine like terms: 15z + -1z = 14z 24 + 14z = 18 + 1z + -1z Combine like terms: 1z + -1z = 0 24 + 14z = 18 + 0 24 + 14z = 18 Add '-24' to each side of the equation. 24 + -24 + 14z = 18 + -24 Combine like terms: 24 + -24 = 0 0 + 14z = 18 + -24 14z = 18 + -24 Combine like terms: 18 + -24 = -6 14z = -6 Divide each side by '14'. z = -0.4285714286 Simplifying z = -0.4285714286
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