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Simplifying 4(s + 2) + -12 = 2s + -2 + 7s + 13 Reorder the terms: 4(2 + s) + -12 = 2s + -2 + 7s + 13 (2 * 4 + s * 4) + -12 = 2s + -2 + 7s + 13 (8 + 4s) + -12 = 2s + -2 + 7s + 13 Reorder the terms: 8 + -12 + 4s = 2s + -2 + 7s + 13 Combine like terms: 8 + -12 = -4 -4 + 4s = 2s + -2 + 7s + 13 Reorder the terms: -4 + 4s = -2 + 13 + 2s + 7s Combine like terms: -2 + 13 = 11 -4 + 4s = 11 + 2s + 7s Combine like terms: 2s + 7s = 9s -4 + 4s = 11 + 9s Solving -4 + 4s = 11 + 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. -4 + 4s + -9s = 11 + 9s + -9s Combine like terms: 4s + -9s = -5s -4 + -5s = 11 + 9s + -9s Combine like terms: 9s + -9s = 0 -4 + -5s = 11 + 0 -4 + -5s = 11 Add '4' to each side of the equation. -4 + 4 + -5s = 11 + 4 Combine like terms: -4 + 4 = 0 0 + -5s = 11 + 4 -5s = 11 + 4 Combine like terms: 11 + 4 = 15 -5s = 15 Divide each side by '-5'. s = -3 Simplifying s = -3
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