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Simplifying -2(5s + -3) + -6 = -3(8s + 6) + -5 Reorder the terms: -2(-3 + 5s) + -6 = -3(8s + 6) + -5 (-3 * -2 + 5s * -2) + -6 = -3(8s + 6) + -5 (6 + -10s) + -6 = -3(8s + 6) + -5 Reorder the terms: 6 + -6 + -10s = -3(8s + 6) + -5 Combine like terms: 6 + -6 = 0 0 + -10s = -3(8s + 6) + -5 -10s = -3(8s + 6) + -5 Reorder the terms: -10s = -3(6 + 8s) + -5 -10s = (6 * -3 + 8s * -3) + -5 -10s = (-18 + -24s) + -5 Reorder the terms: -10s = -18 + -5 + -24s Combine like terms: -18 + -5 = -23 -10s = -23 + -24s Solving -10s = -23 + -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. -10s + 24s = -23 + -24s + 24s Combine like terms: -10s + 24s = 14s 14s = -23 + -24s + 24s Combine like terms: -24s + 24s = 0 14s = -23 + 0 14s = -23 Divide each side by '14'. s = -1.642857143 Simplifying s = -1.642857143
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