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