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Simplifying 3t + 5(t + -1) = 3t + 5(2t) Reorder the terms: 3t + 5(-1 + t) = 3t + 5(2t) 3t + (-1 * 5 + t * 5) = 3t + 5(2t) 3t + (-5 + 5t) = 3t + 5(2t) Reorder the terms: -5 + 3t + 5t = 3t + 5(2t) Combine like terms: 3t + 5t = 8t -5 + 8t = 3t + 5(2t) Remove parenthesis around (2t) -5 + 8t = 3t + 5 * 2t Multiply 5 * 2 -5 + 8t = 3t + 10t Combine like terms: 3t + 10t = 13t -5 + 8t = 13t Solving -5 + 8t = 13t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-13t' to each side of the equation. -5 + 8t + -13t = 13t + -13t Combine like terms: 8t + -13t = -5t -5 + -5t = 13t + -13t Combine like terms: 13t + -13t = 0 -5 + -5t = 0 Add '5' to each side of the equation. -5 + 5 + -5t = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -5t = 0 + 5 -5t = 0 + 5 Combine like terms: 0 + 5 = 5 -5t = 5 Divide each side by '-5'. t = -1 Simplifying t = -1
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