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Simplifying 6(4w + -5) = -25(7 + -1w) Reorder the terms: 6(-5 + 4w) = -25(7 + -1w) (-5 * 6 + 4w * 6) = -25(7 + -1w) (-30 + 24w) = -25(7 + -1w) -30 + 24w = (7 * -25 + -1w * -25) -30 + 24w = (-175 + 25w) Solving -30 + 24w = -175 + 25w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-25w' to each side of the equation. -30 + 24w + -25w = -175 + 25w + -25w Combine like terms: 24w + -25w = -1w -30 + -1w = -175 + 25w + -25w Combine like terms: 25w + -25w = 0 -30 + -1w = -175 + 0 -30 + -1w = -175 Add '30' to each side of the equation. -30 + 30 + -1w = -175 + 30 Combine like terms: -30 + 30 = 0 0 + -1w = -175 + 30 -1w = -175 + 30 Combine like terms: -175 + 30 = -145 -1w = -145 Divide each side by '-1'. w = 145 Simplifying w = 145
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