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Simplifying -3x + 2 + 5w = 4(x + -3) Reorder the terms: 2 + 5w + -3x = 4(x + -3) Reorder the terms: 2 + 5w + -3x = 4(-3 + x) 2 + 5w + -3x = (-3 * 4 + x * 4) 2 + 5w + -3x = (-12 + 4x) Solving 2 + 5w + -3x = -12 + 4x Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 5w + -2 + -3x = -12 + -2 + 4x Reorder the terms: 2 + -2 + 5w + -3x = -12 + -2 + 4x Combine like terms: 2 + -2 = 0 0 + 5w + -3x = -12 + -2 + 4x 5w + -3x = -12 + -2 + 4x Combine like terms: -12 + -2 = -14 5w + -3x = -14 + 4x Add '3x' to each side of the equation. 5w + -3x + 3x = -14 + 4x + 3x Combine like terms: -3x + 3x = 0 5w + 0 = -14 + 4x + 3x 5w = -14 + 4x + 3x Combine like terms: 4x + 3x = 7x 5w = -14 + 7x Divide each side by '5'. w = -2.8 + 1.4x Simplifying w = -2.8 + 1.4x
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