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Simplifying 4t + 4 = -2 + -6t + 7t Reorder the terms: 4 + 4t = -2 + -6t + 7t Combine like terms: -6t + 7t = 1t 4 + 4t = -2 + 1t Solving 4 + 4t = -2 + 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. 4 + 4t + -1t = -2 + 1t + -1t Combine like terms: 4t + -1t = 3t 4 + 3t = -2 + 1t + -1t Combine like terms: 1t + -1t = 0 4 + 3t = -2 + 0 4 + 3t = -2 Add '-4' to each side of the equation. 4 + -4 + 3t = -2 + -4 Combine like terms: 4 + -4 = 0 0 + 3t = -2 + -4 3t = -2 + -4 Combine like terms: -2 + -4 = -6 3t = -6 Divide each side by '3'. t = -2 Simplifying t = -2
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