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Simplifying 3(s + -8) = 4(s + -3) + 2 Reorder the terms: 3(-8 + s) = 4(s + -3) + 2 (-8 * 3 + s * 3) = 4(s + -3) + 2 (-24 + 3s) = 4(s + -3) + 2 Reorder the terms: -24 + 3s = 4(-3 + s) + 2 -24 + 3s = (-3 * 4 + s * 4) + 2 -24 + 3s = (-12 + 4s) + 2 Reorder the terms: -24 + 3s = -12 + 2 + 4s Combine like terms: -12 + 2 = -10 -24 + 3s = -10 + 4s Solving -24 + 3s = -10 + 4s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-4s' to each side of the equation. -24 + 3s + -4s = -10 + 4s + -4s Combine like terms: 3s + -4s = -1s -24 + -1s = -10 + 4s + -4s Combine like terms: 4s + -4s = 0 -24 + -1s = -10 + 0 -24 + -1s = -10 Add '24' to each side of the equation. -24 + 24 + -1s = -10 + 24 Combine like terms: -24 + 24 = 0 0 + -1s = -10 + 24 -1s = -10 + 24 Combine like terms: -10 + 24 = 14 -1s = 14 Divide each side by '-1'. s = -14 Simplifying s = -14
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