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Simplifying 8(t + -5) = 5(t + 4) Reorder the terms: 8(-5 + t) = 5(t + 4) (-5 * 8 + t * 8) = 5(t + 4) (-40 + 8t) = 5(t + 4) Reorder the terms: -40 + 8t = 5(4 + t) -40 + 8t = (4 * 5 + t * 5) -40 + 8t = (20 + 5t) Solving -40 + 8t = 20 + 5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5t' to each side of the equation. -40 + 8t + -5t = 20 + 5t + -5t Combine like terms: 8t + -5t = 3t -40 + 3t = 20 + 5t + -5t Combine like terms: 5t + -5t = 0 -40 + 3t = 20 + 0 -40 + 3t = 20 Add '40' to each side of the equation. -40 + 40 + 3t = 20 + 40 Combine like terms: -40 + 40 = 0 0 + 3t = 20 + 40 3t = 20 + 40 Combine like terms: 20 + 40 = 60 3t = 60 Divide each side by '3'. t = 20 Simplifying t = 20
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