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Simplifying 5s + -3(2s + 3) = 4(3s + -1) + 8 Reorder the terms: 5s + -3(3 + 2s) = 4(3s + -1) + 8 5s + (3 * -3 + 2s * -3) = 4(3s + -1) + 8 5s + (-9 + -6s) = 4(3s + -1) + 8 Reorder the terms: -9 + 5s + -6s = 4(3s + -1) + 8 Combine like terms: 5s + -6s = -1s -9 + -1s = 4(3s + -1) + 8 Reorder the terms: -9 + -1s = 4(-1 + 3s) + 8 -9 + -1s = (-1 * 4 + 3s * 4) + 8 -9 + -1s = (-4 + 12s) + 8 Reorder the terms: -9 + -1s = -4 + 8 + 12s Combine like terms: -4 + 8 = 4 -9 + -1s = 4 + 12s Solving -9 + -1s = 4 + 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. -9 + -1s + -12s = 4 + 12s + -12s Combine like terms: -1s + -12s = -13s -9 + -13s = 4 + 12s + -12s Combine like terms: 12s + -12s = 0 -9 + -13s = 4 + 0 -9 + -13s = 4 Add '9' to each side of the equation. -9 + 9 + -13s = 4 + 9 Combine like terms: -9 + 9 = 0 0 + -13s = 4 + 9 -13s = 4 + 9 Combine like terms: 4 + 9 = 13 -13s = 13 Divide each side by '-13'. s = -1 Simplifying s = -1
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