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Simplifying -3(4s + -5) + -5 = -3(6s + 2) + -5 Reorder the terms: -3(-5 + 4s) + -5 = -3(6s + 2) + -5 (-5 * -3 + 4s * -3) + -5 = -3(6s + 2) + -5 (15 + -12s) + -5 = -3(6s + 2) + -5 Reorder the terms: 15 + -5 + -12s = -3(6s + 2) + -5 Combine like terms: 15 + -5 = 10 10 + -12s = -3(6s + 2) + -5 Reorder the terms: 10 + -12s = -3(2 + 6s) + -5 10 + -12s = (2 * -3 + 6s * -3) + -5 10 + -12s = (-6 + -18s) + -5 Reorder the terms: 10 + -12s = -6 + -5 + -18s Combine like terms: -6 + -5 = -11 10 + -12s = -11 + -18s Solving 10 + -12s = -11 + -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. 10 + -12s + 18s = -11 + -18s + 18s Combine like terms: -12s + 18s = 6s 10 + 6s = -11 + -18s + 18s Combine like terms: -18s + 18s = 0 10 + 6s = -11 + 0 10 + 6s = -11 Add '-10' to each side of the equation. 10 + -10 + 6s = -11 + -10 Combine like terms: 10 + -10 = 0 0 + 6s = -11 + -10 6s = -11 + -10 Combine like terms: -11 + -10 = -21 6s = -21 Divide each side by '6'. s = -3.5 Simplifying s = -3.5
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