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Simplifying 16(s + 4) = 5(s + -10) + 26 Reorder the terms: 16(4 + s) = 5(s + -10) + 26 (4 * 16 + s * 16) = 5(s + -10) + 26 (64 + 16s) = 5(s + -10) + 26 Reorder the terms: 64 + 16s = 5(-10 + s) + 26 64 + 16s = (-10 * 5 + s * 5) + 26 64 + 16s = (-50 + 5s) + 26 Reorder the terms: 64 + 16s = -50 + 26 + 5s Combine like terms: -50 + 26 = -24 64 + 16s = -24 + 5s Solving 64 + 16s = -24 + 5s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-5s' to each side of the equation. 64 + 16s + -5s = -24 + 5s + -5s Combine like terms: 16s + -5s = 11s 64 + 11s = -24 + 5s + -5s Combine like terms: 5s + -5s = 0 64 + 11s = -24 + 0 64 + 11s = -24 Add '-64' to each side of the equation. 64 + -64 + 11s = -24 + -64 Combine like terms: 64 + -64 = 0 0 + 11s = -24 + -64 11s = -24 + -64 Combine like terms: -24 + -64 = -88 11s = -88 Divide each side by '11'. s = -8 Simplifying s = -8
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