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