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Simplifying 5(8 + -3t) = 5(2 + t) (8 * 5 + -3t * 5) = 5(2 + t) (40 + -15t) = 5(2 + t) 40 + -15t = (2 * 5 + t * 5) 40 + -15t = (10 + 5t) Solving 40 + -15t = 10 + 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. 40 + -15t + -5t = 10 + 5t + -5t Combine like terms: -15t + -5t = -20t 40 + -20t = 10 + 5t + -5t Combine like terms: 5t + -5t = 0 40 + -20t = 10 + 0 40 + -20t = 10 Add '-40' to each side of the equation. 40 + -40 + -20t = 10 + -40 Combine like terms: 40 + -40 = 0 0 + -20t = 10 + -40 -20t = 10 + -40 Combine like terms: 10 + -40 = -30 -20t = -30 Divide each side by '-20'. t = 1.5 Simplifying t = 1.5
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