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Simplifying -3(5s + -2) + -6 = -3(7s + 1) + -4 Reorder the terms: -3(-2 + 5s) + -6 = -3(7s + 1) + -4 (-2 * -3 + 5s * -3) + -6 = -3(7s + 1) + -4 (6 + -15s) + -6 = -3(7s + 1) + -4 Reorder the terms: 6 + -6 + -15s = -3(7s + 1) + -4 Combine like terms: 6 + -6 = 0 0 + -15s = -3(7s + 1) + -4 -15s = -3(7s + 1) + -4 Reorder the terms: -15s = -3(1 + 7s) + -4 -15s = (1 * -3 + 7s * -3) + -4 -15s = (-3 + -21s) + -4 Reorder the terms: -15s = -3 + -4 + -21s Combine like terms: -3 + -4 = -7 -15s = -7 + -21s Solving -15s = -7 + -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. -15s + 21s = -7 + -21s + 21s Combine like terms: -15s + 21s = 6s 6s = -7 + -21s + 21s Combine like terms: -21s + 21s = 0 6s = -7 + 0 6s = -7 Divide each side by '6'. s = -1.166666667 Simplifying s = -1.166666667
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