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