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Simplifying 8(2 + -1t) = -3(t + 3) (2 * 8 + -1t * 8) = -3(t + 3) (16 + -8t) = -3(t + 3) Reorder the terms: 16 + -8t = -3(3 + t) 16 + -8t = (3 * -3 + t * -3) 16 + -8t = (-9 + -3t) Solving 16 + -8t = -9 + -3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '3t' to each side of the equation. 16 + -8t + 3t = -9 + -3t + 3t Combine like terms: -8t + 3t = -5t 16 + -5t = -9 + -3t + 3t Combine like terms: -3t + 3t = 0 16 + -5t = -9 + 0 16 + -5t = -9 Add '-16' to each side of the equation. 16 + -16 + -5t = -9 + -16 Combine like terms: 16 + -16 = 0 0 + -5t = -9 + -16 -5t = -9 + -16 Combine like terms: -9 + -16 = -25 -5t = -25 Divide each side by '-5'. t = 5 Simplifying t = 5
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