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Simplifying -7(4w + 2) = 5(2w + 1) Reorder the terms: -7(2 + 4w) = 5(2w + 1) (2 * -7 + 4w * -7) = 5(2w + 1) (-14 + -28w) = 5(2w + 1) Reorder the terms: -14 + -28w = 5(1 + 2w) -14 + -28w = (1 * 5 + 2w * 5) -14 + -28w = (5 + 10w) Solving -14 + -28w = 5 + 10w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-10w' to each side of the equation. -14 + -28w + -10w = 5 + 10w + -10w Combine like terms: -28w + -10w = -38w -14 + -38w = 5 + 10w + -10w Combine like terms: 10w + -10w = 0 -14 + -38w = 5 + 0 -14 + -38w = 5 Add '14' to each side of the equation. -14 + 14 + -38w = 5 + 14 Combine like terms: -14 + 14 = 0 0 + -38w = 5 + 14 -38w = 5 + 14 Combine like terms: 5 + 14 = 19 -38w = 19 Divide each side by '-38'. w = -0.5 Simplifying w = -0.5
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