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Simplifying 3(5t * 2 + -16t + -16) = 0 Reorder the terms for easier multiplication: 3(5 * 2t + -16t + -16) = 0 Multiply 5 * 2 3(10t + -16t + -16) = 0 Reorder the terms: 3(-16 + 10t + -16t) = 0 Combine like terms: 10t + -16t = -6t 3(-16 + -6t) = 0 (-16 * 3 + -6t * 3) = 0 (-48 + -18t) = 0 Solving -48 + -18t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '48' to each side of the equation. -48 + 48 + -18t = 0 + 48 Combine like terms: -48 + 48 = 0 0 + -18t = 0 + 48 -18t = 0 + 48 Combine like terms: 0 + 48 = 48 -18t = 48 Divide each side by '-18'. t = -2.666666667 Simplifying t = -2.666666667
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