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