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Simplifying 5(t + 1) = 3(3t + -1) Reorder the terms: 5(1 + t) = 3(3t + -1) (1 * 5 + t * 5) = 3(3t + -1) (5 + 5t) = 3(3t + -1) Reorder the terms: 5 + 5t = 3(-1 + 3t) 5 + 5t = (-1 * 3 + 3t * 3) 5 + 5t = (-3 + 9t) Solving 5 + 5t = -3 + 9t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-9t' to each side of the equation. 5 + 5t + -9t = -3 + 9t + -9t Combine like terms: 5t + -9t = -4t 5 + -4t = -3 + 9t + -9t Combine like terms: 9t + -9t = 0 5 + -4t = -3 + 0 5 + -4t = -3 Add '-5' to each side of the equation. 5 + -5 + -4t = -3 + -5 Combine like terms: 5 + -5 = 0 0 + -4t = -3 + -5 -4t = -3 + -5 Combine like terms: -3 + -5 = -8 -4t = -8 Divide each side by '-4'. t = 2 Simplifying t = 2
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