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Simplifying -7(2 + -1) = -6(z + 3) Combine like terms: 2 + -1 = 1 -7(1) = -6(z + 3) Multiply -7 * 1 -7 = -6(z + 3) Reorder the terms: -7 = -6(3 + z) -7 = (3 * -6 + z * -6) -7 = (-18 + -6z) Solving -7 = -18 + -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. -7 + 6z = -18 + -6z + 6z Combine like terms: -6z + 6z = 0 -7 + 6z = -18 + 0 -7 + 6z = -18 Add '7' to each side of the equation. -7 + 7 + 6z = -18 + 7 Combine like terms: -7 + 7 = 0 0 + 6z = -18 + 7 6z = -18 + 7 Combine like terms: -18 + 7 = -11 6z = -11 Divide each side by '6'. z = -1.833333333 Simplifying z = -1.833333333
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