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Simplifying -4(-6w + 4) + -4w = 2(w + -6) + -1 Reorder the terms: -4(4 + -6w) + -4w = 2(w + -6) + -1 (4 * -4 + -6w * -4) + -4w = 2(w + -6) + -1 (-16 + 24w) + -4w = 2(w + -6) + -1 Combine like terms: 24w + -4w = 20w -16 + 20w = 2(w + -6) + -1 Reorder the terms: -16 + 20w = 2(-6 + w) + -1 -16 + 20w = (-6 * 2 + w * 2) + -1 -16 + 20w = (-12 + 2w) + -1 Reorder the terms: -16 + 20w = -12 + -1 + 2w Combine like terms: -12 + -1 = -13 -16 + 20w = -13 + 2w Solving -16 + 20w = -13 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. -16 + 20w + -2w = -13 + 2w + -2w Combine like terms: 20w + -2w = 18w -16 + 18w = -13 + 2w + -2w Combine like terms: 2w + -2w = 0 -16 + 18w = -13 + 0 -16 + 18w = -13 Add '16' to each side of the equation. -16 + 16 + 18w = -13 + 16 Combine like terms: -16 + 16 = 0 0 + 18w = -13 + 16 18w = -13 + 16 Combine like terms: -13 + 16 = 3 18w = 3 Divide each side by '18'. w = 0.1666666667 Simplifying w = 0.1666666667
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