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