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Simplifying 8(4s + -7) = 6(2s + 4) Reorder the terms: 8(-7 + 4s) = 6(2s + 4) (-7 * 8 + 4s * 8) = 6(2s + 4) (-56 + 32s) = 6(2s + 4) Reorder the terms: -56 + 32s = 6(4 + 2s) -56 + 32s = (4 * 6 + 2s * 6) -56 + 32s = (24 + 12s) Solving -56 + 32s = 24 + 12s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-12s' to each side of the equation. -56 + 32s + -12s = 24 + 12s + -12s Combine like terms: 32s + -12s = 20s -56 + 20s = 24 + 12s + -12s Combine like terms: 12s + -12s = 0 -56 + 20s = 24 + 0 -56 + 20s = 24 Add '56' to each side of the equation. -56 + 56 + 20s = 24 + 56 Combine like terms: -56 + 56 = 0 0 + 20s = 24 + 56 20s = 24 + 56 Combine like terms: 24 + 56 = 80 20s = 80 Divide each side by '20'. s = 4 Simplifying s = 4
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