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Simplifying 6(z + -7) + 2 = 10 Reorder the terms: 6(-7 + z) + 2 = 10 (-7 * 6 + z * 6) + 2 = 10 (-42 + 6z) + 2 = 10 Reorder the terms: -42 + 2 + 6z = 10 Combine like terms: -42 + 2 = -40 -40 + 6z = 10 Solving -40 + 6z = 10 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + 6z = 10 + 40 Combine like terms: -40 + 40 = 0 0 + 6z = 10 + 40 6z = 10 + 40 Combine like terms: 10 + 40 = 50 6z = 50 Divide each side by '6'. z = 8.333333333 Simplifying z = 8.333333333
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