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Simplifying (7x + -4z) + 1(-5w + z) = 0 Remove parenthesis around (7x + -4z) 7x + -4z + 1(-5w + z) = 0 7x + -4z + (-5w * 1 + z * 1) = 0 7x + -4z + (-5w + 1z) = 0 Reorder the terms: -5w + 7x + -4z + 1z = 0 Combine like terms: -4z + 1z = -3z -5w + 7x + -3z = 0 Solving -5w + 7x + -3z = 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. -5w + 7x + -7x + -3z = 0 + -7x Combine like terms: 7x + -7x = 0 -5w + 0 + -3z = 0 + -7x -5w + -3z = 0 + -7x Remove the zero: -5w + -3z = -7x Add '3z' to each side of the equation. -5w + -3z + 3z = -7x + 3z Combine like terms: -3z + 3z = 0 -5w + 0 = -7x + 3z -5w = -7x + 3z Divide each side by '-5'. w = 1.4x + -0.6z Simplifying w = 1.4x + -0.6z
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