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Simplifying -13 = 5(1 + 4z) + -2z -13 = (1 * 5 + 4z * 5) + -2z -13 = (5 + 20z) + -2z Combine like terms: 20z + -2z = 18z -13 = 5 + 18z Solving -13 = 5 + 18z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-18z' to each side of the equation. -13 + -18z = 5 + 18z + -18z Combine like terms: 18z + -18z = 0 -13 + -18z = 5 + 0 -13 + -18z = 5 Add '13' to each side of the equation. -13 + 13 + -18z = 5 + 13 Combine like terms: -13 + 13 = 0 0 + -18z = 5 + 13 -18z = 5 + 13 Combine like terms: 5 + 13 = 18 -18z = 18 Divide each side by '-18'. z = -1 Simplifying z = -1
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