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Simplifying 7(5z + -9) = 18 + -2z Reorder the terms: 7(-9 + 5z) = 18 + -2z (-9 * 7 + 5z * 7) = 18 + -2z (-63 + 35z) = 18 + -2z Solving -63 + 35z = 18 + -2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '2z' to each side of the equation. -63 + 35z + 2z = 18 + -2z + 2z Combine like terms: 35z + 2z = 37z -63 + 37z = 18 + -2z + 2z Combine like terms: -2z + 2z = 0 -63 + 37z = 18 + 0 -63 + 37z = 18 Add '63' to each side of the equation. -63 + 63 + 37z = 18 + 63 Combine like terms: -63 + 63 = 0 0 + 37z = 18 + 63 37z = 18 + 63 Combine like terms: 18 + 63 = 81 37z = 81 Divide each side by '37'. z = 2.189189189 Simplifying z = 2.189189189
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