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Simplifying (5w + -3x) + -1(6w + 4x) = 0 Remove parenthesis around (5w + -3x) 5w + -3x + -1(6w + 4x) = 0 5w + -3x + (6w * -1 + 4x * -1) = 0 5w + -3x + (-6w + -4x) = 0 Reorder the terms: 5w + -6w + -3x + -4x = 0 Combine like terms: 5w + -6w = -1w -1w + -3x + -4x = 0 Combine like terms: -3x + -4x = -7x -1w + -7x = 0 Solving -1w + -7x = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '7x' to each side of the equation. -1w + -7x + 7x = 0 + 7x Combine like terms: -7x + 7x = 0 -1w + 0 = 0 + 7x -1w = 0 + 7x Remove the zero: -1w = 7x Divide each side by '-1'. w = -7x Simplifying w = -7x
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