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Simplifying 7t + -1t + -8 = 5t + -6 Reorder the terms: -8 + 7t + -1t = 5t + -6 Combine like terms: 7t + -1t = 6t -8 + 6t = 5t + -6 Reorder the terms: -8 + 6t = -6 + 5t Solving -8 + 6t = -6 + 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. -8 + 6t + -5t = -6 + 5t + -5t Combine like terms: 6t + -5t = 1t -8 + 1t = -6 + 5t + -5t Combine like terms: 5t + -5t = 0 -8 + 1t = -6 + 0 -8 + 1t = -6 Add '8' to each side of the equation. -8 + 8 + 1t = -6 + 8 Combine like terms: -8 + 8 = 0 0 + 1t = -6 + 8 1t = -6 + 8 Combine like terms: -6 + 8 = 2 1t = 2 Divide each side by '1'. t = 2 Simplifying t = 2
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