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Simplifying 6(z + -5) + 5z + -2 = 0 Reorder the terms: 6(-5 + z) + 5z + -2 = 0 (-5 * 6 + z * 6) + 5z + -2 = 0 (-30 + 6z) + 5z + -2 = 0 Reorder the terms: -30 + -2 + 6z + 5z = 0 Combine like terms: -30 + -2 = -32 -32 + 6z + 5z = 0 Combine like terms: 6z + 5z = 11z -32 + 11z = 0 Solving -32 + 11z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + 11z = 0 + 32 Combine like terms: -32 + 32 = 0 0 + 11z = 0 + 32 11z = 0 + 32 Combine like terms: 0 + 32 = 32 11z = 32 Divide each side by '11'. z = 2.909090909 Simplifying z = 2.909090909
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