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Simplifying 15 + 7 = 8(3z + -5) Combine like terms: 15 + 7 = 22 22 = 8(3z + -5) Reorder the terms: 22 = 8(-5 + 3z) 22 = (-5 * 8 + 3z * 8) 22 = (-40 + 24z) Solving 22 = -40 + 24z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-24z' to each side of the equation. 22 + -24z = -40 + 24z + -24z Combine like terms: 24z + -24z = 0 22 + -24z = -40 + 0 22 + -24z = -40 Add '-22' to each side of the equation. 22 + -22 + -24z = -40 + -22 Combine like terms: 22 + -22 = 0 0 + -24z = -40 + -22 -24z = -40 + -22 Combine like terms: -40 + -22 = -62 -24z = -62 Divide each side by '-24'. z = 2.583333333 Simplifying z = 2.583333333
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