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Simplifying -6.3(4s + 6) + -1.4(2s + -4) = 0 Reorder the terms: -6.3(6 + 4s) + -1.4(2s + -4) = 0 (6 * -6.3 + 4s * -6.3) + -1.4(2s + -4) = 0 (-37.8 + -25.2s) + -1.4(2s + -4) = 0 Reorder the terms: -37.8 + -25.2s + -1.4(-4 + 2s) = 0 -37.8 + -25.2s + (-4 * -1.4 + 2s * -1.4) = 0 -37.8 + -25.2s + (5.6 + -2.8s) = 0 Reorder the terms: -37.8 + 5.6 + -25.2s + -2.8s = 0 Combine like terms: -37.8 + 5.6 = -32.2 -32.2 + -25.2s + -2.8s = 0 Combine like terms: -25.2s + -2.8s = -28s -32.2 + -28s = 0 Solving -32.2 + -28s = 0 Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '32.2' to each side of the equation. -32.2 + 32.2 + -28s = 0 + 32.2 Combine like terms: -32.2 + 32.2 = 0.0 0.0 + -28s = 0 + 32.2 -28s = 0 + 32.2 Combine like terms: 0 + 32.2 = 32.2 -28s = 32.2 Divide each side by '-28'. s = -1.15 Simplifying s = -1.15
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