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