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Simplifying -5(3x + 9w + -3) + 6w + -2x = 0 Reorder the terms: -5(-3 + 9w + 3x) + 6w + -2x = 0 (-3 * -5 + 9w * -5 + 3x * -5) + 6w + -2x = 0 (15 + -45w + -15x) + 6w + -2x = 0 Reorder the terms: 15 + -45w + 6w + -15x + -2x = 0 Combine like terms: -45w + 6w = -39w 15 + -39w + -15x + -2x = 0 Combine like terms: -15x + -2x = -17x 15 + -39w + -17x = 0 Solving 15 + -39w + -17x = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -39w + -15 + -17x = 0 + -15 Reorder the terms: 15 + -15 + -39w + -17x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -39w + -17x = 0 + -15 -39w + -17x = 0 + -15 Combine like terms: 0 + -15 = -15 -39w + -17x = -15 Add '17x' to each side of the equation. -39w + -17x + 17x = -15 + 17x Combine like terms: -17x + 17x = 0 -39w + 0 = -15 + 17x -39w = -15 + 17x Divide each side by '-39'. w = 0.3846153846 + -0.4358974359x Simplifying w = 0.3846153846 + -0.4358974359x
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