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Simplifying 7t + -1t + -6 = 5t + -8 Reorder the terms: -6 + 7t + -1t = 5t + -8 Combine like terms: 7t + -1t = 6t -6 + 6t = 5t + -8 Reorder the terms: -6 + 6t = -8 + 5t Solving -6 + 6t = -8 + 5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5t' to each side of the equation. -6 + 6t + -5t = -8 + 5t + -5t Combine like terms: 6t + -5t = 1t -6 + 1t = -8 + 5t + -5t Combine like terms: 5t + -5t = 0 -6 + 1t = -8 + 0 -6 + 1t = -8 Add '6' to each side of the equation. -6 + 6 + 1t = -8 + 6 Combine like terms: -6 + 6 = 0 0 + 1t = -8 + 6 1t = -8 + 6 Combine like terms: -8 + 6 = -2 1t = -2 Divide each side by '1'. t = -2 Simplifying t = -2
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