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Simplifying 7t + -13 = 3t + -5 Reorder the terms: -13 + 7t = 3t + -5 Reorder the terms: -13 + 7t = -5 + 3t Solving -13 + 7t = -5 + 3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3t' to each side of the equation. -13 + 7t + -3t = -5 + 3t + -3t Combine like terms: 7t + -3t = 4t -13 + 4t = -5 + 3t + -3t Combine like terms: 3t + -3t = 0 -13 + 4t = -5 + 0 -13 + 4t = -5 Add '13' to each side of the equation. -13 + 13 + 4t = -5 + 13 Combine like terms: -13 + 13 = 0 0 + 4t = -5 + 13 4t = -5 + 13 Combine like terms: -5 + 13 = 8 4t = 8 Divide each side by '4'. t = 2 Simplifying t = 2
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