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Simplifying -18 = -3 + 8(z + -5) Reorder the terms: -18 = -3 + 8(-5 + z) -18 = -3 + (-5 * 8 + z * 8) -18 = -3 + (-40 + 8z) Combine like terms: -3 + -40 = -43 -18 = -43 + 8z Solving -18 = -43 + 8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8z' to each side of the equation. -18 + -8z = -43 + 8z + -8z Combine like terms: 8z + -8z = 0 -18 + -8z = -43 + 0 -18 + -8z = -43 Add '18' to each side of the equation. -18 + 18 + -8z = -43 + 18 Combine like terms: -18 + 18 = 0 0 + -8z = -43 + 18 -8z = -43 + 18 Combine like terms: -43 + 18 = -25 -8z = -25 Divide each side by '-8'. z = 3.125 Simplifying z = 3.125
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