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Simplifying 32 = 12 + 49(z + -1) Reorder the terms: 32 = 12 + 49(-1 + z) 32 = 12 + (-1 * 49 + z * 49) 32 = 12 + (-49 + 49z) Combine like terms: 12 + -49 = -37 32 = -37 + 49z Solving 32 = -37 + 49z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-49z' to each side of the equation. 32 + -49z = -37 + 49z + -49z Combine like terms: 49z + -49z = 0 32 + -49z = -37 + 0 32 + -49z = -37 Add '-32' to each side of the equation. 32 + -32 + -49z = -37 + -32 Combine like terms: 32 + -32 = 0 0 + -49z = -37 + -32 -49z = -37 + -32 Combine like terms: -37 + -32 = -69 -49z = -69 Divide each side by '-49'. z = 1.408163265 Simplifying z = 1.408163265
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