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Simplifying 3(s + -9) = 6(s + -4) + 3 Reorder the terms: 3(-9 + s) = 6(s + -4) + 3 (-9 * 3 + s * 3) = 6(s + -4) + 3 (-27 + 3s) = 6(s + -4) + 3 Reorder the terms: -27 + 3s = 6(-4 + s) + 3 -27 + 3s = (-4 * 6 + s * 6) + 3 -27 + 3s = (-24 + 6s) + 3 Reorder the terms: -27 + 3s = -24 + 3 + 6s Combine like terms: -24 + 3 = -21 -27 + 3s = -21 + 6s Solving -27 + 3s = -21 + 6s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-6s' to each side of the equation. -27 + 3s + -6s = -21 + 6s + -6s Combine like terms: 3s + -6s = -3s -27 + -3s = -21 + 6s + -6s Combine like terms: 6s + -6s = 0 -27 + -3s = -21 + 0 -27 + -3s = -21 Add '27' to each side of the equation. -27 + 27 + -3s = -21 + 27 Combine like terms: -27 + 27 = 0 0 + -3s = -21 + 27 -3s = -21 + 27 Combine like terms: -21 + 27 = 6 -3s = 6 Divide each side by '-3'. s = -2 Simplifying s = -2
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