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Simplifying 7(2z + -6) = 5(x + 6) Reorder the terms: 7(-6 + 2z) = 5(x + 6) (-6 * 7 + 2z * 7) = 5(x + 6) (-42 + 14z) = 5(x + 6) Reorder the terms: -42 + 14z = 5(6 + x) -42 + 14z = (6 * 5 + x * 5) -42 + 14z = (30 + 5x) Solving -42 + 14z = 30 + 5x Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 42 + 14z = 30 + 42 + 5x Combine like terms: -42 + 42 = 0 0 + 14z = 30 + 42 + 5x 14z = 30 + 42 + 5x Combine like terms: 30 + 42 = 72 14z = 72 + 5x Divide each side by '14'. z = 5.142857143 + 0.3571428571x Simplifying z = 5.142857143 + 0.3571428571x
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