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Simplifying 5t + 1 = -2t + -6 Reorder the terms: 1 + 5t = -2t + -6 Reorder the terms: 1 + 5t = -6 + -2t Solving 1 + 5t = -6 + -2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '2t' to each side of the equation. 1 + 5t + 2t = -6 + -2t + 2t Combine like terms: 5t + 2t = 7t 1 + 7t = -6 + -2t + 2t Combine like terms: -2t + 2t = 0 1 + 7t = -6 + 0 1 + 7t = -6 Add '-1' to each side of the equation. 1 + -1 + 7t = -6 + -1 Combine like terms: 1 + -1 = 0 0 + 7t = -6 + -1 7t = -6 + -1 Combine like terms: -6 + -1 = -7 7t = -7 Divide each side by '7'. t = -1 Simplifying t = -1
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