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Simplifying 5t + 1 + -7t + -5 = 2 + -1t + -6 Reorder the terms: 1 + -5 + 5t + -7t = 2 + -1t + -6 Combine like terms: 1 + -5 = -4 -4 + 5t + -7t = 2 + -1t + -6 Combine like terms: 5t + -7t = -2t -4 + -2t = 2 + -1t + -6 Reorder the terms: -4 + -2t = 2 + -6 + -1t Combine like terms: 2 + -6 = -4 -4 + -2t = -4 + -1t Add '4' to each side of the equation. -4 + 4 + -2t = -4 + 4 + -1t Combine like terms: -4 + 4 = 0 0 + -2t = -4 + 4 + -1t -2t = -4 + 4 + -1t Combine like terms: -4 + 4 = 0 -2t = 0 + -1t -2t = -1t Solving -2t = -1t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add 't' to each side of the equation. -2t + t = -1t + t Combine like terms: -2t + t = -1t -1t = -1t + t Combine like terms: -1t + t = 0 -1t = 0 Divide each side by '-1'. t = 0 Simplifying t = 0
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