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Simplifying -5(t + -1) + 7t = 5t + -3 Reorder the terms: -5(-1 + t) + 7t = 5t + -3 (-1 * -5 + t * -5) + 7t = 5t + -3 (5 + -5t) + 7t = 5t + -3 Combine like terms: -5t + 7t = 2t 5 + 2t = 5t + -3 Reorder the terms: 5 + 2t = -3 + 5t Solving 5 + 2t = -3 + 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. 5 + 2t + -5t = -3 + 5t + -5t Combine like terms: 2t + -5t = -3t 5 + -3t = -3 + 5t + -5t Combine like terms: 5t + -5t = 0 5 + -3t = -3 + 0 5 + -3t = -3 Add '-5' to each side of the equation. 5 + -5 + -3t = -3 + -5 Combine like terms: 5 + -5 = 0 0 + -3t = -3 + -5 -3t = -3 + -5 Combine like terms: -3 + -5 = -8 -3t = -8 Divide each side by '-3'. t = 2.666666667 Simplifying t = 2.666666667
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