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Simplifying 52(t + 42) + 45t = t Reorder the terms: 52(42 + t) + 45t = t (42 * 52 + t * 52) + 45t = t (2184 + 52t) + 45t = t Combine like terms: 52t + 45t = 97t 2184 + 97t = t Solving 2184 + 97t = 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. 2184 + 97t + -1t = t + -1t Combine like terms: 97t + -1t = 96t 2184 + 96t = t + -1t Combine like terms: t + -1t = 0 2184 + 96t = 0 Add '-2184' to each side of the equation. 2184 + -2184 + 96t = 0 + -2184 Combine like terms: 2184 + -2184 = 0 0 + 96t = 0 + -2184 96t = 0 + -2184 Combine like terms: 0 + -2184 = -2184 96t = -2184 Divide each side by '96'. t = -22.75 Simplifying t = -22.75
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