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Simplifying 2(32 + 2) + -3(z + 1) = 0 Combine like terms: 32 + 2 = 34 2(34) + -3(z + 1) = 0 Multiply 2 * 34 68 + -3(z + 1) = 0 Reorder the terms: 68 + -3(1 + z) = 0 68 + (1 * -3 + z * -3) = 0 68 + (-3 + -3z) = 0 Combine like terms: 68 + -3 = 65 65 + -3z = 0 Solving 65 + -3z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-65' to each side of the equation. 65 + -65 + -3z = 0 + -65 Combine like terms: 65 + -65 = 0 0 + -3z = 0 + -65 -3z = 0 + -65 Combine like terms: 0 + -65 = -65 -3z = -65 Divide each side by '-3'. z = 21.66666667 Simplifying z = 21.66666667
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