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Simplifying -5.3(2s + 4) + -2.1(4s + -6) = 0 Reorder the terms: -5.3(4 + 2s) + -2.1(4s + -6) = 0 (4 * -5.3 + 2s * -5.3) + -2.1(4s + -6) = 0 (-21.2 + -10.6s) + -2.1(4s + -6) = 0 Reorder the terms: -21.2 + -10.6s + -2.1(-6 + 4s) = 0 -21.2 + -10.6s + (-6 * -2.1 + 4s * -2.1) = 0 -21.2 + -10.6s + (12.6 + -8.4s) = 0 Reorder the terms: -21.2 + 12.6 + -10.6s + -8.4s = 0 Combine like terms: -21.2 + 12.6 = -8.6 -8.6 + -10.6s + -8.4s = 0 Combine like terms: -10.6s + -8.4s = -19s -8.6 + -19s = 0 Solving -8.6 + -19s = 0 Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '8.6' to each side of the equation. -8.6 + 8.6 + -19s = 0 + 8.6 Combine like terms: -8.6 + 8.6 = 0.0 0.0 + -19s = 0 + 8.6 -19s = 0 + 8.6 Combine like terms: 0 + 8.6 = 8.6 -19s = 8.6 Divide each side by '-19'. s = -0.4526315789 Simplifying s = -0.4526315789
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