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Simplifying 3s + 4t + -16 = 5s + -8t + -23 Reorder the terms: -16 + 3s + 4t = 5s + -8t + -23 Reorder the terms: -16 + 3s + 4t = -23 + 5s + -8t Solving -16 + 3s + 4t = -23 + 5s + -8t Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-5s' to each side of the equation. -16 + 3s + -5s + 4t = -23 + 5s + -5s + -8t Combine like terms: 3s + -5s = -2s -16 + -2s + 4t = -23 + 5s + -5s + -8t Combine like terms: 5s + -5s = 0 -16 + -2s + 4t = -23 + 0 + -8t -16 + -2s + 4t = -23 + -8t Add '16' to each side of the equation. -16 + -2s + 16 + 4t = -23 + 16 + -8t Reorder the terms: -16 + 16 + -2s + 4t = -23 + 16 + -8t Combine like terms: -16 + 16 = 0 0 + -2s + 4t = -23 + 16 + -8t -2s + 4t = -23 + 16 + -8t Combine like terms: -23 + 16 = -7 -2s + 4t = -7 + -8t Add '-4t' to each side of the equation. -2s + 4t + -4t = -7 + -8t + -4t Combine like terms: 4t + -4t = 0 -2s + 0 = -7 + -8t + -4t -2s = -7 + -8t + -4t Combine like terms: -8t + -4t = -12t -2s = -7 + -12t Divide each side by '-2'. s = 3.5 + 6t Simplifying s = 3.5 + 6t
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