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Simplifying 3t + -4(5 + -1t) = t + -8 3t + (5 * -4 + -1t * -4) = t + -8 3t + (-20 + 4t) = t + -8 Reorder the terms: -20 + 3t + 4t = t + -8 Combine like terms: 3t + 4t = 7t -20 + 7t = t + -8 Reorder the terms: -20 + 7t = -8 + t Solving -20 + 7t = -8 + t 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. -20 + 7t + -1t = -8 + t + -1t Combine like terms: 7t + -1t = 6t -20 + 6t = -8 + t + -1t Combine like terms: t + -1t = 0 -20 + 6t = -8 + 0 -20 + 6t = -8 Add '20' to each side of the equation. -20 + 20 + 6t = -8 + 20 Combine like terms: -20 + 20 = 0 0 + 6t = -8 + 20 6t = -8 + 20 Combine like terms: -8 + 20 = 12 6t = 12 Divide each side by '6'. t = 2 Simplifying t = 2
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