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Simplifying 7t + -1t + -4 = 5t + -7 Reorder the terms: -4 + 7t + -1t = 5t + -7 Combine like terms: 7t + -1t = 6t -4 + 6t = 5t + -7 Reorder the terms: -4 + 6t = -7 + 5t Solving -4 + 6t = -7 + 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. -4 + 6t + -5t = -7 + 5t + -5t Combine like terms: 6t + -5t = 1t -4 + 1t = -7 + 5t + -5t Combine like terms: 5t + -5t = 0 -4 + 1t = -7 + 0 -4 + 1t = -7 Add '4' to each side of the equation. -4 + 4 + 1t = -7 + 4 Combine like terms: -4 + 4 = 0 0 + 1t = -7 + 4 1t = -7 + 4 Combine like terms: -7 + 4 = -3 1t = -3 Divide each side by '1'. t = -3 Simplifying t = -3
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