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Simplifying -6.3(4s + 6) + -1.4(3s + -5) = 0 Reorder the terms: -6.3(6 + 4s) + -1.4(3s + -5) = 0 (6 * -6.3 + 4s * -6.3) + -1.4(3s + -5) = 0 (-37.8 + -25.2s) + -1.4(3s + -5) = 0 Reorder the terms: -37.8 + -25.2s + -1.4(-5 + 3s) = 0 -37.8 + -25.2s + (-5 * -1.4 + 3s * -1.4) = 0 -37.8 + -25.2s + (7 + -4.2s) = 0 Reorder the terms: -37.8 + 7 + -25.2s + -4.2s = 0 Combine like terms: -37.8 + 7 = -30.8 -30.8 + -25.2s + -4.2s = 0 Combine like terms: -25.2s + -4.2s = -29.4s -30.8 + -29.4s = 0 Solving -30.8 + -29.4s = 0 Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '30.8' to each side of the equation. -30.8 + 30.8 + -29.4s = 0 + 30.8 Combine like terms: -30.8 + 30.8 = 0.0 0.0 + -29.4s = 0 + 30.8 -29.4s = 0 + 30.8 Combine like terms: 0 + 30.8 = 30.8 -29.4s = 30.8 Divide each side by '-29.4'. s = -1.047619048 Simplifying s = -1.047619048
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