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Simplifying -3(5s + -2) + -6 = -3(8s + 6) + -4 Reorder the terms: -3(-2 + 5s) + -6 = -3(8s + 6) + -4 (-2 * -3 + 5s * -3) + -6 = -3(8s + 6) + -4 (6 + -15s) + -6 = -3(8s + 6) + -4 Reorder the terms: 6 + -6 + -15s = -3(8s + 6) + -4 Combine like terms: 6 + -6 = 0 0 + -15s = -3(8s + 6) + -4 -15s = -3(8s + 6) + -4 Reorder the terms: -15s = -3(6 + 8s) + -4 -15s = (6 * -3 + 8s * -3) + -4 -15s = (-18 + -24s) + -4 Reorder the terms: -15s = -18 + -4 + -24s Combine like terms: -18 + -4 = -22 -15s = -22 + -24s Solving -15s = -22 + -24s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '24s' to each side of the equation. -15s + 24s = -22 + -24s + 24s Combine like terms: -15s + 24s = 9s 9s = -22 + -24s + 24s Combine like terms: -24s + 24s = 0 9s = -22 + 0 9s = -22 Divide each side by '9'. s = -2.444444444 Simplifying s = -2.444444444
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