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Simplifying 4s + -3(s + 4) = 2(2s + 3) + 9 Reorder the terms: 4s + -3(4 + s) = 2(2s + 3) + 9 4s + (4 * -3 + s * -3) = 2(2s + 3) + 9 4s + (-12 + -3s) = 2(2s + 3) + 9 Reorder the terms: -12 + 4s + -3s = 2(2s + 3) + 9 Combine like terms: 4s + -3s = 1s -12 + 1s = 2(2s + 3) + 9 Reorder the terms: -12 + 1s = 2(3 + 2s) + 9 -12 + 1s = (3 * 2 + 2s * 2) + 9 -12 + 1s = (6 + 4s) + 9 Reorder the terms: -12 + 1s = 6 + 9 + 4s Combine like terms: 6 + 9 = 15 -12 + 1s = 15 + 4s Solving -12 + 1s = 15 + 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. -12 + 1s + -4s = 15 + 4s + -4s Combine like terms: 1s + -4s = -3s -12 + -3s = 15 + 4s + -4s Combine like terms: 4s + -4s = 0 -12 + -3s = 15 + 0 -12 + -3s = 15 Add '12' to each side of the equation. -12 + 12 + -3s = 15 + 12 Combine like terms: -12 + 12 = 0 0 + -3s = 15 + 12 -3s = 15 + 12 Combine like terms: 15 + 12 = 27 -3s = 27 Divide each side by '-3'. s = -9 Simplifying s = -9
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