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Simplifying 4w + -3x + -1y + -5w + 18x + -7y = 0 Reorder the terms: 4w + -5w + -3x + 18x + -1y + -7y = 0 Combine like terms: 4w + -5w = -1w -1w + -3x + 18x + -1y + -7y = 0 Combine like terms: -3x + 18x = 15x -1w + 15x + -1y + -7y = 0 Combine like terms: -1y + -7y = -8y -1w + 15x + -8y = 0 Solving -1w + 15x + -8y = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-15x' to each side of the equation. -1w + 15x + -15x + -8y = 0 + -15x Combine like terms: 15x + -15x = 0 -1w + 0 + -8y = 0 + -15x -1w + -8y = 0 + -15x Remove the zero: -1w + -8y = -15x Add '8y' to each side of the equation. -1w + -8y + 8y = -15x + 8y Combine like terms: -8y + 8y = 0 -1w + 0 = -15x + 8y -1w = -15x + 8y Divide each side by '-1'. w = 15x + -8y Simplifying w = 15x + -8y
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