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Simplifying -6 = -6(3 + -9t) + 8t -6 = (3 * -6 + -9t * -6) + 8t -6 = (-18 + 54t) + 8t Combine like terms: 54t + 8t = 62t -6 = -18 + 62t Solving -6 = -18 + 62t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-62t' to each side of the equation. -6 + -62t = -18 + 62t + -62t Combine like terms: 62t + -62t = 0 -6 + -62t = -18 + 0 -6 + -62t = -18 Add '6' to each side of the equation. -6 + 6 + -62t = -18 + 6 Combine like terms: -6 + 6 = 0 0 + -62t = -18 + 6 -62t = -18 + 6 Combine like terms: -18 + 6 = -12 -62t = -12 Divide each side by '-62'. t = 0.1935483871 Simplifying t = 0.1935483871
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