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Simplifying 6(4w + -2) + 5 = 4w + -3 Reorder the terms: 6(-2 + 4w) + 5 = 4w + -3 (-2 * 6 + 4w * 6) + 5 = 4w + -3 (-12 + 24w) + 5 = 4w + -3 Reorder the terms: -12 + 5 + 24w = 4w + -3 Combine like terms: -12 + 5 = -7 -7 + 24w = 4w + -3 Reorder the terms: -7 + 24w = -3 + 4w Solving -7 + 24w = -3 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. -7 + 24w + -4w = -3 + 4w + -4w Combine like terms: 24w + -4w = 20w -7 + 20w = -3 + 4w + -4w Combine like terms: 4w + -4w = 0 -7 + 20w = -3 + 0 -7 + 20w = -3 Add '7' to each side of the equation. -7 + 7 + 20w = -3 + 7 Combine like terms: -7 + 7 = 0 0 + 20w = -3 + 7 20w = -3 + 7 Combine like terms: -3 + 7 = 4 20w = 4 Divide each side by '20'. w = 0.2 Simplifying w = 0.2
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