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Simplifying 7t + -1t + -3 = 5t + -6 Reorder the terms: -3 + 7t + -1t = 5t + -6 Combine like terms: 7t + -1t = 6t -3 + 6t = 5t + -6 Reorder the terms: -3 + 6t = -6 + 5t Solving -3 + 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. -3 + 6t + -5t = -6 + 5t + -5t Combine like terms: 6t + -5t = 1t -3 + 1t = -6 + 5t + -5t Combine like terms: 5t + -5t = 0 -3 + 1t = -6 + 0 -3 + 1t = -6 Add '3' to each side of the equation. -3 + 3 + 1t = -6 + 3 Combine like terms: -3 + 3 = 0 0 + 1t = -6 + 3 1t = -6 + 3 Combine like terms: -6 + 3 = -3 1t = -3 Divide each side by '1'. t = -3 Simplifying t = -3
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