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Simplifying -1(4x + 2) + -1(-3w + -5) = 3 Reorder the terms: -1(2 + 4x) + -1(-3w + -5) = 3 (2 * -1 + 4x * -1) + -1(-3w + -5) = 3 (-2 + -4x) + -1(-3w + -5) = 3 Reorder the terms: -2 + -4x + -1(-5 + -3w) = 3 -2 + -4x + (-5 * -1 + -3w * -1) = 3 -2 + -4x + (5 + 3w) = 3 Reorder the terms: -2 + 5 + 3w + -4x = 3 Combine like terms: -2 + 5 = 3 3 + 3w + -4x = 3 Add '-3' to each side of the equation. 3 + 3w + -3 + -4x = 3 + -3 Reorder the terms: 3 + -3 + 3w + -4x = 3 + -3 Combine like terms: 3 + -3 = 0 0 + 3w + -4x = 3 + -3 3w + -4x = 3 + -3 Combine like terms: 3 + -3 = 0 3w + -4x = 0 Solving 3w + -4x = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '4x' to each side of the equation. 3w + -4x + 4x = 0 + 4x Combine like terms: -4x + 4x = 0 3w + 0 = 0 + 4x 3w = 0 + 4x Remove the zero: 3w = 4x Divide each side by '3'. w = 1.333333333x Simplifying w = 1.333333333x
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