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Simplifying 5t + -7 = 7t + 13 Reorder the terms: -7 + 5t = 7t + 13 Reorder the terms: -7 + 5t = 13 + 7t Solving -7 + 5t = 13 + 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. -7 + 5t + -7t = 13 + 7t + -7t Combine like terms: 5t + -7t = -2t -7 + -2t = 13 + 7t + -7t Combine like terms: 7t + -7t = 0 -7 + -2t = 13 + 0 -7 + -2t = 13 Add '7' to each side of the equation. -7 + 7 + -2t = 13 + 7 Combine like terms: -7 + 7 = 0 0 + -2t = 13 + 7 -2t = 13 + 7 Combine like terms: 13 + 7 = 20 -2t = 20 Divide each side by '-2'. t = -10 Simplifying t = -10
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