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Simplifying 3t + -7 + -8t + 4 = 4t + 8 + -3t Reorder the terms: -7 + 4 + 3t + -8t = 4t + 8 + -3t Combine like terms: -7 + 4 = -3 -3 + 3t + -8t = 4t + 8 + -3t Combine like terms: 3t + -8t = -5t -3 + -5t = 4t + 8 + -3t Reorder the terms: -3 + -5t = 8 + 4t + -3t Combine like terms: 4t + -3t = 1t -3 + -5t = 8 + 1t Solving -3 + -5t = 8 + 1t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1t' to each side of the equation. -3 + -5t + -1t = 8 + 1t + -1t Combine like terms: -5t + -1t = -6t -3 + -6t = 8 + 1t + -1t Combine like terms: 1t + -1t = 0 -3 + -6t = 8 + 0 -3 + -6t = 8 Add '3' to each side of the equation. -3 + 3 + -6t = 8 + 3 Combine like terms: -3 + 3 = 0 0 + -6t = 8 + 3 -6t = 8 + 3 Combine like terms: 8 + 3 = 11 -6t = 11 Divide each side by '-6'. t = -1.833333333 Simplifying t = -1.833333333
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