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Simplifying 5 + t + -1(7 + -3t) = 2t + 10 5 + t + (7 * -1 + -3t * -1) = 2t + 10 5 + t + (-7 + 3t) = 2t + 10 Reorder the terms: 5 + -7 + t + 3t = 2t + 10 Combine like terms: 5 + -7 = -2 -2 + t + 3t = 2t + 10 Combine like terms: t + 3t = 4t -2 + 4t = 2t + 10 Reorder the terms: -2 + 4t = 10 + 2t Solving -2 + 4t = 10 + 2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2t' to each side of the equation. -2 + 4t + -2t = 10 + 2t + -2t Combine like terms: 4t + -2t = 2t -2 + 2t = 10 + 2t + -2t Combine like terms: 2t + -2t = 0 -2 + 2t = 10 + 0 -2 + 2t = 10 Add '2' to each side of the equation. -2 + 2 + 2t = 10 + 2 Combine like terms: -2 + 2 = 0 0 + 2t = 10 + 2 2t = 10 + 2 Combine like terms: 10 + 2 = 12 2t = 12 Divide each side by '2'. t = 6 Simplifying t = 6
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