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Simplifying (-6s + 9t + -10) + -1(6s + -4t + -2) = 0 Reorder the terms: (-10 + -6s + 9t) + -1(6s + -4t + -2) = 0 Remove parenthesis around (-10 + -6s + 9t) -10 + -6s + 9t + -1(6s + -4t + -2) = 0 Reorder the terms: -10 + -6s + 9t + -1(-2 + 6s + -4t) = 0 -10 + -6s + 9t + (-2 * -1 + 6s * -1 + -4t * -1) = 0 -10 + -6s + 9t + (2 + -6s + 4t) = 0 Reorder the terms: -10 + 2 + -6s + -6s + 9t + 4t = 0 Combine like terms: -10 + 2 = -8 -8 + -6s + -6s + 9t + 4t = 0 Combine like terms: -6s + -6s = -12s -8 + -12s + 9t + 4t = 0 Combine like terms: 9t + 4t = 13t -8 + -12s + 13t = 0 Solving -8 + -12s + 13t = 0 Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '8' to each side of the equation. -8 + -12s + 8 + 13t = 0 + 8 Reorder the terms: -8 + 8 + -12s + 13t = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -12s + 13t = 0 + 8 -12s + 13t = 0 + 8 Combine like terms: 0 + 8 = 8 -12s + 13t = 8 Add '-13t' to each side of the equation. -12s + 13t + -13t = 8 + -13t Combine like terms: 13t + -13t = 0 -12s + 0 = 8 + -13t -12s = 8 + -13t Divide each side by '-12'. s = -0.6666666667 + 1.083333333t Simplifying s = -0.6666666667 + 1.083333333t
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