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Simplifying 8(2x + -1) + -4w = -116 Reorder the terms: 8(-1 + 2x) + -4w = -116 (-1 * 8 + 2x * 8) + -4w = -116 (-8 + 16x) + -4w = -116 Reorder the terms: -8 + -4w + 16x = -116 Solving -8 + -4w + 16x = -116 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '8' to each side of the equation. -8 + -4w + 8 + 16x = -116 + 8 Reorder the terms: -8 + 8 + -4w + 16x = -116 + 8 Combine like terms: -8 + 8 = 0 0 + -4w + 16x = -116 + 8 -4w + 16x = -116 + 8 Combine like terms: -116 + 8 = -108 -4w + 16x = -108 Add '-16x' to each side of the equation. -4w + 16x + -16x = -108 + -16x Combine like terms: 16x + -16x = 0 -4w + 0 = -108 + -16x -4w = -108 + -16x Divide each side by '-4'. w = 27 + 4x Simplifying w = 27 + 4x
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