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Simplifying 3(t + -6) = -8(1 + -1t) Reorder the terms: 3(-6 + t) = -8(1 + -1t) (-6 * 3 + t * 3) = -8(1 + -1t) (-18 + 3t) = -8(1 + -1t) -18 + 3t = (1 * -8 + -1t * -8) -18 + 3t = (-8 + 8t) Solving -18 + 3t = -8 + 8t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-8t' to each side of the equation. -18 + 3t + -8t = -8 + 8t + -8t Combine like terms: 3t + -8t = -5t -18 + -5t = -8 + 8t + -8t Combine like terms: 8t + -8t = 0 -18 + -5t = -8 + 0 -18 + -5t = -8 Add '18' to each side of the equation. -18 + 18 + -5t = -8 + 18 Combine like terms: -18 + 18 = 0 0 + -5t = -8 + 18 -5t = -8 + 18 Combine like terms: -8 + 18 = 10 -5t = 10 Divide each side by '-5'. t = -2 Simplifying t = -2
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