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Simplifying 5t + -2(5 + 4t) = 3 + 1t + -8 5t + (5 * -2 + 4t * -2) = 3 + 1t + -8 5t + (-10 + -8t) = 3 + 1t + -8 Reorder the terms: -10 + 5t + -8t = 3 + 1t + -8 Combine like terms: 5t + -8t = -3t -10 + -3t = 3 + 1t + -8 Reorder the terms: -10 + -3t = 3 + -8 + 1t Combine like terms: 3 + -8 = -5 -10 + -3t = -5 + 1t Solving -10 + -3t = -5 + 1t 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. -10 + -3t + -1t = -5 + 1t + -1t Combine like terms: -3t + -1t = -4t -10 + -4t = -5 + 1t + -1t Combine like terms: 1t + -1t = 0 -10 + -4t = -5 + 0 -10 + -4t = -5 Add '10' to each side of the equation. -10 + 10 + -4t = -5 + 10 Combine like terms: -10 + 10 = 0 0 + -4t = -5 + 10 -4t = -5 + 10 Combine like terms: -5 + 10 = 5 -4t = 5 Divide each side by '-4'. t = -1.25 Simplifying t = -1.25
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