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Simplifying -2(5s + -3) + -6 = -3(5s + 5) + -4 Reorder the terms: -2(-3 + 5s) + -6 = -3(5s + 5) + -4 (-3 * -2 + 5s * -2) + -6 = -3(5s + 5) + -4 (6 + -10s) + -6 = -3(5s + 5) + -4 Reorder the terms: 6 + -6 + -10s = -3(5s + 5) + -4 Combine like terms: 6 + -6 = 0 0 + -10s = -3(5s + 5) + -4 -10s = -3(5s + 5) + -4 Reorder the terms: -10s = -3(5 + 5s) + -4 -10s = (5 * -3 + 5s * -3) + -4 -10s = (-15 + -15s) + -4 Reorder the terms: -10s = -15 + -4 + -15s Combine like terms: -15 + -4 = -19 -10s = -19 + -15s Solving -10s = -19 + -15s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '15s' to each side of the equation. -10s + 15s = -19 + -15s + 15s Combine like terms: -10s + 15s = 5s 5s = -19 + -15s + 15s Combine like terms: -15s + 15s = 0 5s = -19 + 0 5s = -19 Divide each side by '5'. s = -3.8 Simplifying s = -3.8
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