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Simplifying -3(-4 + -6y) + 7(-1y + 5w) = 8 (-4 * -3 + -6y * -3) + 7(-1y + 5w) = 8 (12 + 18y) + 7(-1y + 5w) = 8 Reorder the terms: 12 + 18y + 7(5w + -1y) = 8 12 + 18y + (5w * 7 + -1y * 7) = 8 12 + 18y + (35w + -7y) = 8 Reorder the terms: 12 + 35w + 18y + -7y = 8 Combine like terms: 18y + -7y = 11y 12 + 35w + 11y = 8 Solving 12 + 35w + 11y = 8 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + 35w + -12 + 11y = 8 + -12 Reorder the terms: 12 + -12 + 35w + 11y = 8 + -12 Combine like terms: 12 + -12 = 0 0 + 35w + 11y = 8 + -12 35w + 11y = 8 + -12 Combine like terms: 8 + -12 = -4 35w + 11y = -4 Add '-11y' to each side of the equation. 35w + 11y + -11y = -4 + -11y Combine like terms: 11y + -11y = 0 35w + 0 = -4 + -11y 35w = -4 + -11y Divide each side by '35'. w = -0.1142857143 + -0.3142857143y Simplifying w = -0.1142857143 + -0.3142857143y
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