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Simplifying -2(5s + -2) + -4 = -3(7s + 4) + -5 Reorder the terms: -2(-2 + 5s) + -4 = -3(7s + 4) + -5 (-2 * -2 + 5s * -2) + -4 = -3(7s + 4) + -5 (4 + -10s) + -4 = -3(7s + 4) + -5 Reorder the terms: 4 + -4 + -10s = -3(7s + 4) + -5 Combine like terms: 4 + -4 = 0 0 + -10s = -3(7s + 4) + -5 -10s = -3(7s + 4) + -5 Reorder the terms: -10s = -3(4 + 7s) + -5 -10s = (4 * -3 + 7s * -3) + -5 -10s = (-12 + -21s) + -5 Reorder the terms: -10s = -12 + -5 + -21s Combine like terms: -12 + -5 = -17 -10s = -17 + -21s Solving -10s = -17 + -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 = -17 + -21s + 21s Combine like terms: -10s + 21s = 11s 11s = -17 + -21s + 21s Combine like terms: -21s + 21s = 0 11s = -17 + 0 11s = -17 Divide each side by '11'. s = -1.545454545 Simplifying s = -1.545454545
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