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Simplifying -13 = 5(1 + 5z) + -2z -13 = (1 * 5 + 5z * 5) + -2z -13 = (5 + 25z) + -2z Combine like terms: 25z + -2z = 23z -13 = 5 + 23z Solving -13 = 5 + 23z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-23z' to each side of the equation. -13 + -23z = 5 + 23z + -23z Combine like terms: 23z + -23z = 0 -13 + -23z = 5 + 0 -13 + -23z = 5 Add '13' to each side of the equation. -13 + 13 + -23z = 5 + 13 Combine like terms: -13 + 13 = 0 0 + -23z = 5 + 13 -23z = 5 + 13 Combine like terms: 5 + 13 = 18 -23z = 18 Divide each side by '-23'. z = -0.7826086957 Simplifying z = -0.7826086957
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