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Simplifying 2(8t + 1) + -9 = t + -1(t + 6) Reorder the terms: 2(1 + 8t) + -9 = t + -1(t + 6) (1 * 2 + 8t * 2) + -9 = t + -1(t + 6) (2 + 16t) + -9 = t + -1(t + 6) Reorder the terms: 2 + -9 + 16t = t + -1(t + 6) Combine like terms: 2 + -9 = -7 -7 + 16t = t + -1(t + 6) Reorder the terms: -7 + 16t = t + -1(6 + t) -7 + 16t = t + (6 * -1 + t * -1) -7 + 16t = t + (-6 + -1t) Reorder the terms: -7 + 16t = -6 + t + -1t Combine like terms: t + -1t = 0 -7 + 16t = -6 + 0 -7 + 16t = -6 Solving -7 + 16t = -6 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 16t = -6 + 7 Combine like terms: -7 + 7 = 0 0 + 16t = -6 + 7 16t = -6 + 7 Combine like terms: -6 + 7 = 1 16t = 1 Divide each side by '16'. t = 0.0625 Simplifying t = 0.0625
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