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Simplifying 35(t + 2) = 55t Reorder the terms: 35(2 + t) = 55t (2 * 35 + t * 35) = 55t (70 + 35t) = 55t Solving 70 + 35t = 55t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-55t' to each side of the equation. 70 + 35t + -55t = 55t + -55t Combine like terms: 35t + -55t = -20t 70 + -20t = 55t + -55t Combine like terms: 55t + -55t = 0 70 + -20t = 0 Add '-70' to each side of the equation. 70 + -70 + -20t = 0 + -70 Combine like terms: 70 + -70 = 0 0 + -20t = 0 + -70 -20t = 0 + -70 Combine like terms: 0 + -70 = -70 -20t = -70 Divide each side by '-20'. t = 3.5 Simplifying t = 3.5
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