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Simplifying 7(3s + 4t + 5) + 8(5t + 6) = 0 Reorder the terms: 7(5 + 3s + 4t) + 8(5t + 6) = 0 (5 * 7 + 3s * 7 + 4t * 7) + 8(5t + 6) = 0 (35 + 21s + 28t) + 8(5t + 6) = 0 Reorder the terms: 35 + 21s + 28t + 8(6 + 5t) = 0 35 + 21s + 28t + (6 * 8 + 5t * 8) = 0 35 + 21s + 28t + (48 + 40t) = 0 Reorder the terms: 35 + 48 + 21s + 28t + 40t = 0 Combine like terms: 35 + 48 = 83 83 + 21s + 28t + 40t = 0 Combine like terms: 28t + 40t = 68t 83 + 21s + 68t = 0 Solving 83 + 21s + 68t = 0 Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-83' to each side of the equation. 83 + 21s + -83 + 68t = 0 + -83 Reorder the terms: 83 + -83 + 21s + 68t = 0 + -83 Combine like terms: 83 + -83 = 0 0 + 21s + 68t = 0 + -83 21s + 68t = 0 + -83 Combine like terms: 0 + -83 = -83 21s + 68t = -83 Add '-68t' to each side of the equation. 21s + 68t + -68t = -83 + -68t Combine like terms: 68t + -68t = 0 21s + 0 = -83 + -68t 21s = -83 + -68t Divide each side by '21'. s = -3.952380952 + -3.238095238t Simplifying s = -3.952380952 + -3.238095238t
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