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Simplifying -30 + 6z = -7(5z + 9) Reorder the terms: -30 + 6z = -7(9 + 5z) -30 + 6z = (9 * -7 + 5z * -7) -30 + 6z = (-63 + -35z) Solving -30 + 6z = -63 + -35z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '35z' to each side of the equation. -30 + 6z + 35z = -63 + -35z + 35z Combine like terms: 6z + 35z = 41z -30 + 41z = -63 + -35z + 35z Combine like terms: -35z + 35z = 0 -30 + 41z = -63 + 0 -30 + 41z = -63 Add '30' to each side of the equation. -30 + 30 + 41z = -63 + 30 Combine like terms: -30 + 30 = 0 0 + 41z = -63 + 30 41z = -63 + 30 Combine like terms: -63 + 30 = -33 41z = -33 Divide each side by '41'. z = -0.8048780488 Simplifying z = -0.8048780488
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