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Simplifying -2(3s + -5) + -10 = -3(6s + 1) + -5 Reorder the terms: -2(-5 + 3s) + -10 = -3(6s + 1) + -5 (-5 * -2 + 3s * -2) + -10 = -3(6s + 1) + -5 (10 + -6s) + -10 = -3(6s + 1) + -5 Reorder the terms: 10 + -10 + -6s = -3(6s + 1) + -5 Combine like terms: 10 + -10 = 0 0 + -6s = -3(6s + 1) + -5 -6s = -3(6s + 1) + -5 Reorder the terms: -6s = -3(1 + 6s) + -5 -6s = (1 * -3 + 6s * -3) + -5 -6s = (-3 + -18s) + -5 Reorder the terms: -6s = -3 + -5 + -18s Combine like terms: -3 + -5 = -8 -6s = -8 + -18s Solving -6s = -8 + -18s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '18s' to each side of the equation. -6s + 18s = -8 + -18s + 18s Combine like terms: -6s + 18s = 12s 12s = -8 + -18s + 18s Combine like terms: -18s + 18s = 0 12s = -8 + 0 12s = -8 Divide each side by '12'. s = -0.6666666667 Simplifying s = -0.6666666667
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