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Simplifying 6(s + -5) + -5 = 4(s + -3) Reorder the terms: 6(-5 + s) + -5 = 4(s + -3) (-5 * 6 + s * 6) + -5 = 4(s + -3) (-30 + 6s) + -5 = 4(s + -3) Reorder the terms: -30 + -5 + 6s = 4(s + -3) Combine like terms: -30 + -5 = -35 -35 + 6s = 4(s + -3) Reorder the terms: -35 + 6s = 4(-3 + s) -35 + 6s = (-3 * 4 + s * 4) -35 + 6s = (-12 + 4s) Solving -35 + 6s = -12 + 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. -35 + 6s + -4s = -12 + 4s + -4s Combine like terms: 6s + -4s = 2s -35 + 2s = -12 + 4s + -4s Combine like terms: 4s + -4s = 0 -35 + 2s = -12 + 0 -35 + 2s = -12 Add '35' to each side of the equation. -35 + 35 + 2s = -12 + 35 Combine like terms: -35 + 35 = 0 0 + 2s = -12 + 35 2s = -12 + 35 Combine like terms: -12 + 35 = 23 2s = 23 Divide each side by '2'. s = 11.5 Simplifying s = 11.5
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