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Simplifying 6(-7.8s + 6.33) = -19.4s + 4(-4s + -17.58) Reorder the terms: 6(6.33 + -7.8s) = -19.4s + 4(-4s + -17.58) (6.33 * 6 + -7.8s * 6) = -19.4s + 4(-4s + -17.58) (37.98 + -46.8s) = -19.4s + 4(-4s + -17.58) Reorder the terms: 37.98 + -46.8s = -19.4s + 4(-17.58 + -4s) 37.98 + -46.8s = -19.4s + (-17.58 * 4 + -4s * 4) 37.98 + -46.8s = -19.4s + (-70.32 + -16s) Reorder the terms: 37.98 + -46.8s = -70.32 + -19.4s + -16s Combine like terms: -19.4s + -16s = -35.4s 37.98 + -46.8s = -70.32 + -35.4s Solving 37.98 + -46.8s = -70.32 + -35.4s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '35.4s' to each side of the equation. 37.98 + -46.8s + 35.4s = -70.32 + -35.4s + 35.4s Combine like terms: -46.8s + 35.4s = -11.4s 37.98 + -11.4s = -70.32 + -35.4s + 35.4s Combine like terms: -35.4s + 35.4s = 0.0 37.98 + -11.4s = -70.32 + 0.0 37.98 + -11.4s = -70.32 Add '-37.98' to each side of the equation. 37.98 + -37.98 + -11.4s = -70.32 + -37.98 Combine like terms: 37.98 + -37.98 = 0.00 0.00 + -11.4s = -70.32 + -37.98 -11.4s = -70.32 + -37.98 Combine like terms: -70.32 + -37.98 = -108.3 -11.4s = -108.3 Divide each side by '-11.4'. s = 9.5 Simplifying s = 9.5
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