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Simplifying 8(2x + -6) + 4(-1 + -5w) = 0 Reorder the terms: 8(-6 + 2x) + 4(-1 + -5w) = 0 (-6 * 8 + 2x * 8) + 4(-1 + -5w) = 0 (-48 + 16x) + 4(-1 + -5w) = 0 -48 + 16x + (-1 * 4 + -5w * 4) = 0 -48 + 16x + (-4 + -20w) = 0 Reorder the terms: -48 + -4 + -20w + 16x = 0 Combine like terms: -48 + -4 = -52 -52 + -20w + 16x = 0 Solving -52 + -20w + 16x = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '52' to each side of the equation. -52 + -20w + 52 + 16x = 0 + 52 Reorder the terms: -52 + 52 + -20w + 16x = 0 + 52 Combine like terms: -52 + 52 = 0 0 + -20w + 16x = 0 + 52 -20w + 16x = 0 + 52 Combine like terms: 0 + 52 = 52 -20w + 16x = 52 Add '-16x' to each side of the equation. -20w + 16x + -16x = 52 + -16x Combine like terms: 16x + -16x = 0 -20w + 0 = 52 + -16x -20w = 52 + -16x Divide each side by '-20'. w = -2.6 + 0.8x Simplifying w = -2.6 + 0.8x
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