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Simplifying 5t + -1(2t + 2) = t + 5 Reorder the terms: 5t + -1(2 + 2t) = t + 5 5t + (2 * -1 + 2t * -1) = t + 5 5t + (-2 + -2t) = t + 5 Reorder the terms: -2 + 5t + -2t = t + 5 Combine like terms: 5t + -2t = 3t -2 + 3t = t + 5 Reorder the terms: -2 + 3t = 5 + t Solving -2 + 3t = 5 + 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. -2 + 3t + -1t = 5 + t + -1t Combine like terms: 3t + -1t = 2t -2 + 2t = 5 + t + -1t Combine like terms: t + -1t = 0 -2 + 2t = 5 + 0 -2 + 2t = 5 Add '2' to each side of the equation. -2 + 2 + 2t = 5 + 2 Combine like terms: -2 + 2 = 0 0 + 2t = 5 + 2 2t = 5 + 2 Combine like terms: 5 + 2 = 7 2t = 7 Divide each side by '2'. t = 3.5 Simplifying t = 3.5
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