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Simplifying 8 + 3(2t + -3) + -3(4t + 8) + -10 = 0 Reorder the terms: 8 + 3(-3 + 2t) + -3(4t + 8) + -10 = 0 8 + (-3 * 3 + 2t * 3) + -3(4t + 8) + -10 = 0 8 + (-9 + 6t) + -3(4t + 8) + -10 = 0 Reorder the terms: 8 + -9 + 6t + -3(8 + 4t) + -10 = 0 8 + -9 + 6t + (8 * -3 + 4t * -3) + -10 = 0 8 + -9 + 6t + (-24 + -12t) + -10 = 0 Reorder the terms: 8 + -9 + -24 + -10 + 6t + -12t = 0 Combine like terms: 8 + -9 = -1 -1 + -24 + -10 + 6t + -12t = 0 Combine like terms: -1 + -24 = -25 -25 + -10 + 6t + -12t = 0 Combine like terms: -25 + -10 = -35 -35 + 6t + -12t = 0 Combine like terms: 6t + -12t = -6t -35 + -6t = 0 Solving -35 + -6t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + -6t = 0 + 35 Combine like terms: -35 + 35 = 0 0 + -6t = 0 + 35 -6t = 0 + 35 Combine like terms: 0 + 35 = 35 -6t = 35 Divide each side by '-6'. t = -5.833333333 Simplifying t = -5.833333333
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