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Simplifying 7(t + -1) = 3t + -5 + 2t Reorder the terms: 7(-1 + t) = 3t + -5 + 2t (-1 * 7 + t * 7) = 3t + -5 + 2t (-7 + 7t) = 3t + -5 + 2t Reorder the terms: -7 + 7t = -5 + 3t + 2t Combine like terms: 3t + 2t = 5t -7 + 7t = -5 + 5t Solving -7 + 7t = -5 + 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. -7 + 7t + -5t = -5 + 5t + -5t Combine like terms: 7t + -5t = 2t -7 + 2t = -5 + 5t + -5t Combine like terms: 5t + -5t = 0 -7 + 2t = -5 + 0 -7 + 2t = -5 Add '7' to each side of the equation. -7 + 7 + 2t = -5 + 7 Combine like terms: -7 + 7 = 0 0 + 2t = -5 + 7 2t = -5 + 7 Combine like terms: -5 + 7 = 2 2t = 2 Divide each side by '2'. t = 1 Simplifying t = 1
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