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Simplifying 10x + -2y + 12w + -15y + 4w = 0 Reorder the terms: 12w + 4w + 10x + -2y + -15y = 0 Combine like terms: 12w + 4w = 16w 16w + 10x + -2y + -15y = 0 Combine like terms: -2y + -15y = -17y 16w + 10x + -17y = 0 Solving 16w + 10x + -17y = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-10x' to each side of the equation. 16w + 10x + -10x + -17y = 0 + -10x Combine like terms: 10x + -10x = 0 16w + 0 + -17y = 0 + -10x 16w + -17y = 0 + -10x Remove the zero: 16w + -17y = -10x Add '17y' to each side of the equation. 16w + -17y + 17y = -10x + 17y Combine like terms: -17y + 17y = 0 16w + 0 = -10x + 17y 16w = -10x + 17y Divide each side by '16'. w = -0.625x + 1.0625y Simplifying w = -0.625x + 1.0625y
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