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Simplifying -2(3s + -5) + -10 = -3(5s + 6) + -4 Reorder the terms: -2(-5 + 3s) + -10 = -3(5s + 6) + -4 (-5 * -2 + 3s * -2) + -10 = -3(5s + 6) + -4 (10 + -6s) + -10 = -3(5s + 6) + -4 Reorder the terms: 10 + -10 + -6s = -3(5s + 6) + -4 Combine like terms: 10 + -10 = 0 0 + -6s = -3(5s + 6) + -4 -6s = -3(5s + 6) + -4 Reorder the terms: -6s = -3(6 + 5s) + -4 -6s = (6 * -3 + 5s * -3) + -4 -6s = (-18 + -15s) + -4 Reorder the terms: -6s = -18 + -4 + -15s Combine like terms: -18 + -4 = -22 -6s = -22 + -15s Solving -6s = -22 + -15s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '15s' to each side of the equation. -6s + 15s = -22 + -15s + 15s Combine like terms: -6s + 15s = 9s 9s = -22 + -15s + 15s Combine like terms: -15s + 15s = 0 9s = -22 + 0 9s = -22 Divide each side by '9'. s = -2.444444444 Simplifying s = -2.444444444
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