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Simplifying 5t + -2(5 + 4t) = 3 + r + -8 5t + (5 * -2 + 4t * -2) = 3 + r + -8 5t + (-10 + -8t) = 3 + r + -8 Reorder the terms: -10 + 5t + -8t = 3 + r + -8 Combine like terms: 5t + -8t = -3t -10 + -3t = 3 + r + -8 Reorder the terms: -10 + -3t = 3 + -8 + r Combine like terms: 3 + -8 = -5 -10 + -3t = -5 + r Solving -10 + -3t = -5 + r Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -3t = -5 + 10 + r Combine like terms: -10 + 10 = 0 0 + -3t = -5 + 10 + r -3t = -5 + 10 + r Combine like terms: -5 + 10 = 5 -3t = 5 + r Divide each side by '-3'. t = -1.666666667 + -0.3333333333r Simplifying t = -1.666666667 + -0.3333333333r
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