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Simplifying -7w + 4(x + 8) = 14 Reorder the terms: -7w + 4(8 + x) = 14 -7w + (8 * 4 + x * 4) = 14 -7w + (32 + 4x) = 14 Reorder the terms: 32 + -7w + 4x = 14 Solving 32 + -7w + 4x = 14 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -7w + -32 + 4x = 14 + -32 Reorder the terms: 32 + -32 + -7w + 4x = 14 + -32 Combine like terms: 32 + -32 = 0 0 + -7w + 4x = 14 + -32 -7w + 4x = 14 + -32 Combine like terms: 14 + -32 = -18 -7w + 4x = -18 Add '-4x' to each side of the equation. -7w + 4x + -4x = -18 + -4x Combine like terms: 4x + -4x = 0 -7w + 0 = -18 + -4x -7w = -18 + -4x Divide each side by '-7'. w = 2.571428571 + 0.5714285714x Simplifying w = 2.571428571 + 0.5714285714x
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