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Simplifying 5(-1w + -3x) + -2(-6x + -6w) = 0 (-1w * 5 + -3x * 5) + -2(-6x + -6w) = 0 (-5w + -15x) + -2(-6x + -6w) = 0 Reorder the terms: -5w + -15x + -2(-6w + -6x) = 0 -5w + -15x + (-6w * -2 + -6x * -2) = 0 -5w + -15x + (12w + 12x) = 0 Reorder the terms: -5w + 12w + -15x + 12x = 0 Combine like terms: -5w + 12w = 7w 7w + -15x + 12x = 0 Combine like terms: -15x + 12x = -3x 7w + -3x = 0 Solving 7w + -3x = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '3x' to each side of the equation. 7w + -3x + 3x = 0 + 3x Combine like terms: -3x + 3x = 0 7w + 0 = 0 + 3x 7w = 0 + 3x Remove the zero: 7w = 3x Divide each side by '7'. w = 0.4285714286x Simplifying w = 0.4285714286x
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