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Simplifying 3 + (t + -1) = -5(3t + 8) Reorder the terms: 3 + (-1 + t) = -5(3t + 8) Remove parenthesis around (-1 + t) 3 + -1 + t = -5(3t + 8) Combine like terms: 3 + -1 = 2 2 + t = -5(3t + 8) Reorder the terms: 2 + t = -5(8 + 3t) 2 + t = (8 * -5 + 3t * -5) 2 + t = (-40 + -15t) Solving 2 + t = -40 + -15t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '15t' to each side of the equation. 2 + t + 15t = -40 + -15t + 15t Combine like terms: t + 15t = 16t 2 + 16t = -40 + -15t + 15t Combine like terms: -15t + 15t = 0 2 + 16t = -40 + 0 2 + 16t = -40 Add '-2' to each side of the equation. 2 + -2 + 16t = -40 + -2 Combine like terms: 2 + -2 = 0 0 + 16t = -40 + -2 16t = -40 + -2 Combine like terms: -40 + -2 = -42 16t = -42 Divide each side by '16'. t = -2.625 Simplifying t = -2.625
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