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Simplifying 8(2t + 3) + -3(5 + -1s) + 14t = 0 Reorder the terms: 8(3 + 2t) + -3(5 + -1s) + 14t = 0 (3 * 8 + 2t * 8) + -3(5 + -1s) + 14t = 0 (24 + 16t) + -3(5 + -1s) + 14t = 0 24 + 16t + (5 * -3 + -1s * -3) + 14t = 0 24 + 16t + (-15 + 3s) + 14t = 0 Reorder the terms: 24 + -15 + 3s + 16t + 14t = 0 Combine like terms: 24 + -15 = 9 9 + 3s + 16t + 14t = 0 Combine like terms: 16t + 14t = 30t 9 + 3s + 30t = 0 Solving 9 + 3s + 30t = 0 Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + 3s + -9 + 30t = 0 + -9 Reorder the terms: 9 + -9 + 3s + 30t = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 3s + 30t = 0 + -9 3s + 30t = 0 + -9 Combine like terms: 0 + -9 = -9 3s + 30t = -9 Add '-30t' to each side of the equation. 3s + 30t + -30t = -9 + -30t Combine like terms: 30t + -30t = 0 3s + 0 = -9 + -30t 3s = -9 + -30t Divide each side by '3'. s = -3 + -10t Simplifying s = -3 + -10t
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