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Simplifying 8 + -6(7 + -4t) + 4t = 0 8 + (7 * -6 + -4t * -6) + 4t = 0 8 + (-42 + 24t) + 4t = 0 Combine like terms: 8 + -42 = -34 -34 + 24t + 4t = 0 Combine like terms: 24t + 4t = 28t -34 + 28t = 0 Solving -34 + 28t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '34' to each side of the equation. -34 + 34 + 28t = 0 + 34 Combine like terms: -34 + 34 = 0 0 + 28t = 0 + 34 28t = 0 + 34 Combine like terms: 0 + 34 = 34 28t = 34 Divide each side by '28'. t = 1.214285714 Simplifying t = 1.214285714
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