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Simplifying -31 + -4z = 8(2z + -3) Reorder the terms: -31 + -4z = 8(-3 + 2z) -31 + -4z = (-3 * 8 + 2z * 8) -31 + -4z = (-24 + 16z) Solving -31 + -4z = -24 + 16z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-16z' to each side of the equation. -31 + -4z + -16z = -24 + 16z + -16z Combine like terms: -4z + -16z = -20z -31 + -20z = -24 + 16z + -16z Combine like terms: 16z + -16z = 0 -31 + -20z = -24 + 0 -31 + -20z = -24 Add '31' to each side of the equation. -31 + 31 + -20z = -24 + 31 Combine like terms: -31 + 31 = 0 0 + -20z = -24 + 31 -20z = -24 + 31 Combine like terms: -24 + 31 = 7 -20z = 7 Divide each side by '-20'. z = -0.35 Simplifying z = -0.35
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