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Simplifying 3(22 + -5) = 2z + 13 Combine like terms: 22 + -5 = 17 3(17) = 2z + 13 Multiply 3 * 17 51 = 2z + 13 Reorder the terms: 51 = 13 + 2z Solving 51 = 13 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. 51 + -2z = 13 + 2z + -2z Combine like terms: 2z + -2z = 0 51 + -2z = 13 + 0 51 + -2z = 13 Add '-51' to each side of the equation. 51 + -51 + -2z = 13 + -51 Combine like terms: 51 + -51 = 0 0 + -2z = 13 + -51 -2z = 13 + -51 Combine like terms: 13 + -51 = -38 -2z = -38 Divide each side by '-2'. z = 19 Simplifying z = 19
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