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Simplifying 4t + 13 = 1.2t + 7 Reorder the terms: 13 + 4t = 1.2t + 7 Reorder the terms: 13 + 4t = 7 + 1.2t Solving 13 + 4t = 7 + 1.2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1.2t' to each side of the equation. 13 + 4t + -1.2t = 7 + 1.2t + -1.2t Combine like terms: 4t + -1.2t = 2.8t 13 + 2.8t = 7 + 1.2t + -1.2t Combine like terms: 1.2t + -1.2t = 0.0 13 + 2.8t = 7 + 0.0 13 + 2.8t = 7 Add '-13' to each side of the equation. 13 + -13 + 2.8t = 7 + -13 Combine like terms: 13 + -13 = 0 0 + 2.8t = 7 + -13 2.8t = 7 + -13 Combine like terms: 7 + -13 = -6 2.8t = -6 Divide each side by '2.8'. t = -2.142857143 Simplifying t = -2.142857143
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