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Simplifying 3(t + -1) = 5t + 13 Reorder the terms: 3(-1 + t) = 5t + 13 (-1 * 3 + t * 3) = 5t + 13 (-3 + 3t) = 5t + 13 Reorder the terms: -3 + 3t = 13 + 5t Solving -3 + 3t = 13 + 5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5t' to each side of the equation. -3 + 3t + -5t = 13 + 5t + -5t Combine like terms: 3t + -5t = -2t -3 + -2t = 13 + 5t + -5t Combine like terms: 5t + -5t = 0 -3 + -2t = 13 + 0 -3 + -2t = 13 Add '3' to each side of the equation. -3 + 3 + -2t = 13 + 3 Combine like terms: -3 + 3 = 0 0 + -2t = 13 + 3 -2t = 13 + 3 Combine like terms: 13 + 3 = 16 -2t = 16 Divide each side by '-2'. t = -8 Simplifying t = -8
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