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Simplifying 5t + -2 = 7t + 8 Reorder the terms: -2 + 5t = 7t + 8 Reorder the terms: -2 + 5t = 8 + 7t Solving -2 + 5t = 8 + 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. -2 + 5t + -7t = 8 + 7t + -7t Combine like terms: 5t + -7t = -2t -2 + -2t = 8 + 7t + -7t Combine like terms: 7t + -7t = 0 -2 + -2t = 8 + 0 -2 + -2t = 8 Add '2' to each side of the equation. -2 + 2 + -2t = 8 + 2 Combine like terms: -2 + 2 = 0 0 + -2t = 8 + 2 -2t = 8 + 2 Combine like terms: 8 + 2 = 10 -2t = 10 Divide each side by '-2'. t = -5 Simplifying t = -5
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