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Simplifying -7 + 8[5 + -3s] = 3[7 + -9s] -7 + [5 * 8 + -3s * 8] = 3[7 + -9s] -7 + [40 + -24s] = 3[7 + -9s] Combine like terms: -7 + 40 = 33 33 + -24s = 3[7 + -9s] 33 + -24s = [7 * 3 + -9s * 3] 33 + -24s = [21 + -27s] Solving 33 + -24s = 21 + -27s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '27s' to each side of the equation. 33 + -24s + 27s = 21 + -27s + 27s Combine like terms: -24s + 27s = 3s 33 + 3s = 21 + -27s + 27s Combine like terms: -27s + 27s = 0 33 + 3s = 21 + 0 33 + 3s = 21 Add '-33' to each side of the equation. 33 + -33 + 3s = 21 + -33 Combine like terms: 33 + -33 = 0 0 + 3s = 21 + -33 3s = 21 + -33 Combine like terms: 21 + -33 = -12 3s = -12 Divide each side by '3'. s = -4 Simplifying s = -4
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