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Simplifying 4(5s + -12) + -8(2s + 9) = 0 Reorder the terms: 4(-12 + 5s) + -8(2s + 9) = 0 (-12 * 4 + 5s * 4) + -8(2s + 9) = 0 (-48 + 20s) + -8(2s + 9) = 0 Reorder the terms: -48 + 20s + -8(9 + 2s) = 0 -48 + 20s + (9 * -8 + 2s * -8) = 0 -48 + 20s + (-72 + -16s) = 0 Reorder the terms: -48 + -72 + 20s + -16s = 0 Combine like terms: -48 + -72 = -120 -120 + 20s + -16s = 0 Combine like terms: 20s + -16s = 4s -120 + 4s = 0 Solving -120 + 4s = 0 Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '120' to each side of the equation. -120 + 120 + 4s = 0 + 120 Combine like terms: -120 + 120 = 0 0 + 4s = 0 + 120 4s = 0 + 120 Combine like terms: 0 + 120 = 120 4s = 120 Divide each side by '4'. s = 30 Simplifying s = 30
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