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Simplifying t2 + 2t + 19 = t2 + 5t + 13 Reorder the terms: 19 + 2t + t2 = t2 + 5t + 13 Reorder the terms: 19 + 2t + t2 = 13 + 5t + t2 Add '-1t2' to each side of the equation. 19 + 2t + t2 + -1t2 = 13 + 5t + t2 + -1t2 Combine like terms: t2 + -1t2 = 0 19 + 2t + 0 = 13 + 5t + t2 + -1t2 19 + 2t = 13 + 5t + t2 + -1t2 Combine like terms: t2 + -1t2 = 0 19 + 2t = 13 + 5t + 0 19 + 2t = 13 + 5t Solving 19 + 2t = 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. 19 + 2t + -5t = 13 + 5t + -5t Combine like terms: 2t + -5t = -3t 19 + -3t = 13 + 5t + -5t Combine like terms: 5t + -5t = 0 19 + -3t = 13 + 0 19 + -3t = 13 Add '-19' to each side of the equation. 19 + -19 + -3t = 13 + -19 Combine like terms: 19 + -19 = 0 0 + -3t = 13 + -19 -3t = 13 + -19 Combine like terms: 13 + -19 = -6 -3t = -6 Divide each side by '-3'. t = 2 Simplifying t = 2
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