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Simplifying 6x + 2(3x + -9y + s) + (-9) = 0 Reorder the terms: 6x + 2(s + 3x + -9y) + (-9) = 0 6x + (s * 2 + 3x * 2 + -9y * 2) + (-9) = 0 6x + (2s + 6x + -18y) + (-9) = 0 6x + 2s + 6x + -18y + -9 = 0 Reorder the terms: -9 + 2s + 6x + 6x + -18y = 0 Combine like terms: 6x + 6x = 12x -9 + 2s + 12x + -18y = 0 Solving -9 + 2s + 12x + -18y = 0 Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 2s + 12x + 9 + -18y = 0 + 9 Reorder the terms: -9 + 9 + 2s + 12x + -18y = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 2s + 12x + -18y = 0 + 9 2s + 12x + -18y = 0 + 9 Combine like terms: 0 + 9 = 9 2s + 12x + -18y = 9 Add '-12x' to each side of the equation. 2s + 12x + -12x + -18y = 9 + -12x Combine like terms: 12x + -12x = 0 2s + 0 + -18y = 9 + -12x 2s + -18y = 9 + -12x Add '18y' to each side of the equation. 2s + -18y + 18y = 9 + -12x + 18y Combine like terms: -18y + 18y = 0 2s + 0 = 9 + -12x + 18y 2s = 9 + -12x + 18y Divide each side by '2'. s = 4.5 + -6x + 9y Simplifying s = 4.5 + -6x + 9y
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