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Simplifying 6 + 2(5 + -1z) = 7 6 + (5 * 2 + -1z * 2) = 7 6 + (10 + -2z) = 7 Combine like terms: 6 + 10 = 16 16 + -2z = 7 Solving 16 + -2z = 7 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -2z = 7 + -16 Combine like terms: 16 + -16 = 0 0 + -2z = 7 + -16 -2z = 7 + -16 Combine like terms: 7 + -16 = -9 -2z = -9 Divide each side by '-2'. z = 4.5 Simplifying z = 4.5
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