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Simplifying -1(6x + w) + 6(4w + -4x) = 0 Reorder the terms: -1(w + 6x) + 6(4w + -4x) = 0 (w * -1 + 6x * -1) + 6(4w + -4x) = 0 (-1w + -6x) + 6(4w + -4x) = 0 -1w + -6x + (4w * 6 + -4x * 6) = 0 -1w + -6x + (24w + -24x) = 0 Reorder the terms: -1w + 24w + -6x + -24x = 0 Combine like terms: -1w + 24w = 23w 23w + -6x + -24x = 0 Combine like terms: -6x + -24x = -30x 23w + -30x = 0 Solving 23w + -30x = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '30x' to each side of the equation. 23w + -30x + 30x = 0 + 30x Combine like terms: -30x + 30x = 0 23w + 0 = 0 + 30x 23w = 0 + 30x Remove the zero: 23w = 30x Divide each side by '23'. w = 1.304347826x Simplifying w = 1.304347826x
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