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Simplifying -2(5s + -3) + -6 = -3(7s + 3) + -3 Reorder the terms: -2(-3 + 5s) + -6 = -3(7s + 3) + -3 (-3 * -2 + 5s * -2) + -6 = -3(7s + 3) + -3 (6 + -10s) + -6 = -3(7s + 3) + -3 Reorder the terms: 6 + -6 + -10s = -3(7s + 3) + -3 Combine like terms: 6 + -6 = 0 0 + -10s = -3(7s + 3) + -3 -10s = -3(7s + 3) + -3 Reorder the terms: -10s = -3(3 + 7s) + -3 -10s = (3 * -3 + 7s * -3) + -3 -10s = (-9 + -21s) + -3 Reorder the terms: -10s = -9 + -3 + -21s Combine like terms: -9 + -3 = -12 -10s = -12 + -21s Solving -10s = -12 + -21s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '21s' to each side of the equation. -10s + 21s = -12 + -21s + 21s Combine like terms: -10s + 21s = 11s 11s = -12 + -21s + 21s Combine like terms: -21s + 21s = 0 11s = -12 + 0 11s = -12 Divide each side by '11'. s = -1.090909091 Simplifying s = -1.090909091
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