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Simplifying 8(2 + 3s) + 1 = s + -10(s + 1) (2 * 8 + 3s * 8) + 1 = s + -10(s + 1) (16 + 24s) + 1 = s + -10(s + 1) Reorder the terms: 16 + 1 + 24s = s + -10(s + 1) Combine like terms: 16 + 1 = 17 17 + 24s = s + -10(s + 1) Reorder the terms: 17 + 24s = s + -10(1 + s) 17 + 24s = s + (1 * -10 + s * -10) 17 + 24s = s + (-10 + -10s) Reorder the terms: 17 + 24s = -10 + s + -10s Combine like terms: s + -10s = -9s 17 + 24s = -10 + -9s Solving 17 + 24s = -10 + -9s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '9s' to each side of the equation. 17 + 24s + 9s = -10 + -9s + 9s Combine like terms: 24s + 9s = 33s 17 + 33s = -10 + -9s + 9s Combine like terms: -9s + 9s = 0 17 + 33s = -10 + 0 17 + 33s = -10 Add '-17' to each side of the equation. 17 + -17 + 33s = -10 + -17 Combine like terms: 17 + -17 = 0 0 + 33s = -10 + -17 33s = -10 + -17 Combine like terms: -10 + -17 = -27 33s = -27 Divide each side by '33'. s = -0.8181818182 Simplifying s = -0.8181818182
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