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Simplifying 21 + 7(2 + -3) = 6z + 1 Combine like terms: 2 + -3 = -1 21 + 7(-1) = 6z + 1 Multiply 7 * -1 21 + -7 = 6z + 1 Combine like terms: 21 + -7 = 14 14 = 6z + 1 Reorder the terms: 14 = 1 + 6z Solving 14 = 1 + 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. 14 + -6z = 1 + 6z + -6z Combine like terms: 6z + -6z = 0 14 + -6z = 1 + 0 14 + -6z = 1 Add '-14' to each side of the equation. 14 + -14 + -6z = 1 + -14 Combine like terms: 14 + -14 = 0 0 + -6z = 1 + -14 -6z = 1 + -14 Combine like terms: 1 + -14 = -13 -6z = -13 Divide each side by '-6'. z = 2.166666667 Simplifying z = 2.166666667
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