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Simplifying -2(3s + -5) + -10 = -3(4s + 7) + -3 Reorder the terms: -2(-5 + 3s) + -10 = -3(4s + 7) + -3 (-5 * -2 + 3s * -2) + -10 = -3(4s + 7) + -3 (10 + -6s) + -10 = -3(4s + 7) + -3 Reorder the terms: 10 + -10 + -6s = -3(4s + 7) + -3 Combine like terms: 10 + -10 = 0 0 + -6s = -3(4s + 7) + -3 -6s = -3(4s + 7) + -3 Reorder the terms: -6s = -3(7 + 4s) + -3 -6s = (7 * -3 + 4s * -3) + -3 -6s = (-21 + -12s) + -3 Reorder the terms: -6s = -21 + -3 + -12s Combine like terms: -21 + -3 = -24 -6s = -24 + -12s Solving -6s = -24 + -12s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '12s' to each side of the equation. -6s + 12s = -24 + -12s + 12s Combine like terms: -6s + 12s = 6s 6s = -24 + -12s + 12s Combine like terms: -12s + 12s = 0 6s = -24 + 0 6s = -24 Divide each side by '6'. s = -4 Simplifying s = -4
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