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Simplifying 8t + 3(3t + -2) = -5t + -10 Reorder the terms: 8t + 3(-2 + 3t) = -5t + -10 8t + (-2 * 3 + 3t * 3) = -5t + -10 8t + (-6 + 9t) = -5t + -10 Reorder the terms: -6 + 8t + 9t = -5t + -10 Combine like terms: 8t + 9t = 17t -6 + 17t = -5t + -10 Reorder the terms: -6 + 17t = -10 + -5t Solving -6 + 17t = -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. -6 + 17t + 5t = -10 + -5t + 5t Combine like terms: 17t + 5t = 22t -6 + 22t = -10 + -5t + 5t Combine like terms: -5t + 5t = 0 -6 + 22t = -10 + 0 -6 + 22t = -10 Add '6' to each side of the equation. -6 + 6 + 22t = -10 + 6 Combine like terms: -6 + 6 = 0 0 + 22t = -10 + 6 22t = -10 + 6 Combine like terms: -10 + 6 = -4 22t = -4 Divide each side by '22'. t = -0.1818181818 Simplifying t = -0.1818181818
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