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Simplifying s + 5t + -43 = 7s + t + 1 Reorder the terms: -43 + s + 5t = 7s + t + 1 Reorder the terms: -43 + s + 5t = 1 + 7s + t Solving -43 + s + 5t = 1 + 7s + t Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-7s' to each side of the equation. -43 + s + -7s + 5t = 1 + 7s + -7s + t Combine like terms: s + -7s = -6s -43 + -6s + 5t = 1 + 7s + -7s + t Combine like terms: 7s + -7s = 0 -43 + -6s + 5t = 1 + 0 + t -43 + -6s + 5t = 1 + t Add '43' to each side of the equation. -43 + -6s + 43 + 5t = 1 + 43 + t Reorder the terms: -43 + 43 + -6s + 5t = 1 + 43 + t Combine like terms: -43 + 43 = 0 0 + -6s + 5t = 1 + 43 + t -6s + 5t = 1 + 43 + t Combine like terms: 1 + 43 = 44 -6s + 5t = 44 + t Add '-5t' to each side of the equation. -6s + 5t + -5t = 44 + t + -5t Combine like terms: 5t + -5t = 0 -6s + 0 = 44 + t + -5t -6s = 44 + t + -5t Combine like terms: t + -5t = -4t -6s = 44 + -4t Divide each side by '-6'. s = -7.333333333 + 0.6666666667t Simplifying s = -7.333333333 + 0.6666666667t
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