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Simplifying -5(6z + 7) + 3(2 + -8) = 0 Reorder the terms: -5(7 + 6z) + 3(2 + -8) = 0 (7 * -5 + 6z * -5) + 3(2 + -8) = 0 (-35 + -30z) + 3(2 + -8) = 0 Combine like terms: 2 + -8 = -6 -35 + -30z + 3(-6) = 0 Multiply 3 * -6 -35 + -30z + -18 = 0 Reorder the terms: -35 + -18 + -30z = 0 Combine like terms: -35 + -18 = -53 -53 + -30z = 0 Solving -53 + -30z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '53' to each side of the equation. -53 + 53 + -30z = 0 + 53 Combine like terms: -53 + 53 = 0 0 + -30z = 0 + 53 -30z = 0 + 53 Combine like terms: 0 + 53 = 53 -30z = 53 Divide each side by '-30'. z = -1.766666667 Simplifying z = -1.766666667
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