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Simplifying -3(5s + -6) + -18 = -3(7s + 7) + -3 Reorder the terms: -3(-6 + 5s) + -18 = -3(7s + 7) + -3 (-6 * -3 + 5s * -3) + -18 = -3(7s + 7) + -3 (18 + -15s) + -18 = -3(7s + 7) + -3 Reorder the terms: 18 + -18 + -15s = -3(7s + 7) + -3 Combine like terms: 18 + -18 = 0 0 + -15s = -3(7s + 7) + -3 -15s = -3(7s + 7) + -3 Reorder the terms: -15s = -3(7 + 7s) + -3 -15s = (7 * -3 + 7s * -3) + -3 -15s = (-21 + -21s) + -3 Reorder the terms: -15s = -21 + -3 + -21s Combine like terms: -21 + -3 = -24 -15s = -24 + -21s Solving -15s = -24 + -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 = -24 + -21s + 21s Combine like terms: -15s + 21s = 6s 6s = -24 + -21s + 21s Combine like terms: -21s + 21s = 0 6s = -24 + 0 6s = -24 Divide each side by '6'. s = -4 Simplifying s = -4
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