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Simplifying t + 1 + -7t = -7t + 7 Reorder the terms: 1 + t + -7t = -7t + 7 Combine like terms: t + -7t = -6t 1 + -6t = -7t + 7 Reorder the terms: 1 + -6t = 7 + -7t Solving 1 + -6t = 7 + -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. 1 + -6t + 7t = 7 + -7t + 7t Combine like terms: -6t + 7t = 1t 1 + 1t = 7 + -7t + 7t Combine like terms: -7t + 7t = 0 1 + 1t = 7 + 0 1 + 1t = 7 Add '-1' to each side of the equation. 1 + -1 + 1t = 7 + -1 Combine like terms: 1 + -1 = 0 0 + 1t = 7 + -1 1t = 7 + -1 Combine like terms: 7 + -1 = 6 1t = 6 Divide each side by '1'. t = 6 Simplifying t = 6
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