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Simplifying 3t + -5(2 + -1t) = t + 4 3t + (2 * -5 + -1t * -5) = t + 4 3t + (-10 + 5t) = t + 4 Reorder the terms: -10 + 3t + 5t = t + 4 Combine like terms: 3t + 5t = 8t -10 + 8t = t + 4 Reorder the terms: -10 + 8t = 4 + t Solving -10 + 8t = 4 + 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. -10 + 8t + -1t = 4 + t + -1t Combine like terms: 8t + -1t = 7t -10 + 7t = 4 + t + -1t Combine like terms: t + -1t = 0 -10 + 7t = 4 + 0 -10 + 7t = 4 Add '10' to each side of the equation. -10 + 10 + 7t = 4 + 10 Combine like terms: -10 + 10 = 0 0 + 7t = 4 + 10 7t = 4 + 10 Combine like terms: 4 + 10 = 14 7t = 14 Divide each side by '7'. t = 2 Simplifying t = 2
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