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Simplifying 6s + t + -29 = 7t + s + 6 Reorder the terms: -29 + 6s + t = 7t + s + 6 Reorder the terms: -29 + 6s + t = 6 + s + 7t Solving -29 + 6s + t = 6 + s + 7t Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-1s' to each side of the equation. -29 + 6s + -1s + t = 6 + s + -1s + 7t Combine like terms: 6s + -1s = 5s -29 + 5s + t = 6 + s + -1s + 7t Combine like terms: s + -1s = 0 -29 + 5s + t = 6 + 0 + 7t -29 + 5s + t = 6 + 7t Add '29' to each side of the equation. -29 + 5s + 29 + t = 6 + 29 + 7t Reorder the terms: -29 + 29 + 5s + t = 6 + 29 + 7t Combine like terms: -29 + 29 = 0 0 + 5s + t = 6 + 29 + 7t 5s + t = 6 + 29 + 7t Combine like terms: 6 + 29 = 35 5s + t = 35 + 7t Add '-1t' to each side of the equation. 5s + t + -1t = 35 + 7t + -1t Combine like terms: t + -1t = 0 5s + 0 = 35 + 7t + -1t 5s = 35 + 7t + -1t Combine like terms: 7t + -1t = 6t 5s = 35 + 6t Divide each side by '5'. s = 7 + 1.2t Simplifying s = 7 + 1.2t
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