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Simplifying -31 + -4z = -5 + -5(1 + 5z) -31 + -4z = -5 + (1 * -5 + 5z * -5) -31 + -4z = -5 + (-5 + -25z) Combine like terms: -5 + -5 = -10 -31 + -4z = -10 + -25z Solving -31 + -4z = -10 + -25z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '25z' to each side of the equation. -31 + -4z + 25z = -10 + -25z + 25z Combine like terms: -4z + 25z = 21z -31 + 21z = -10 + -25z + 25z Combine like terms: -25z + 25z = 0 -31 + 21z = -10 + 0 -31 + 21z = -10 Add '31' to each side of the equation. -31 + 31 + 21z = -10 + 31 Combine like terms: -31 + 31 = 0 0 + 21z = -10 + 31 21z = -10 + 31 Combine like terms: -10 + 31 = 21 21z = 21 Divide each side by '21'. z = 1 Simplifying z = 1
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