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Simplifying 8(z + -5) + -40 + 12 = 0 Reorder the terms: 8(-5 + z) + -40 + 12 = 0 (-5 * 8 + z * 8) + -40 + 12 = 0 (-40 + 8z) + -40 + 12 = 0 Reorder the terms: -40 + -40 + 12 + 8z = 0 Combine like terms: -40 + -40 = -80 -80 + 12 + 8z = 0 Combine like terms: -80 + 12 = -68 -68 + 8z = 0 Solving -68 + 8z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '68' to each side of the equation. -68 + 68 + 8z = 0 + 68 Combine like terms: -68 + 68 = 0 0 + 8z = 0 + 68 8z = 0 + 68 Combine like terms: 0 + 68 = 68 8z = 68 Divide each side by '8'. z = 8.5 Simplifying z = 8.5
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