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Simplifying -5(5s + 2) + 3(s + -4) = 0 Reorder the terms: -5(2 + 5s) + 3(s + -4) = 0 (2 * -5 + 5s * -5) + 3(s + -4) = 0 (-10 + -25s) + 3(s + -4) = 0 Reorder the terms: -10 + -25s + 3(-4 + s) = 0 -10 + -25s + (-4 * 3 + s * 3) = 0 -10 + -25s + (-12 + 3s) = 0 Reorder the terms: -10 + -12 + -25s + 3s = 0 Combine like terms: -10 + -12 = -22 -22 + -25s + 3s = 0 Combine like terms: -25s + 3s = -22s -22 + -22s = 0 Solving -22 + -22s = 0 Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + -22s = 0 + 22 Combine like terms: -22 + 22 = 0 0 + -22s = 0 + 22 -22s = 0 + 22 Combine like terms: 0 + 22 = 22 -22s = 22 Divide each side by '-22'. s = -1 Simplifying s = -1
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