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Simplifying 6(4w + -5) = -27(7 + -1w) Reorder the terms: 6(-5 + 4w) = -27(7 + -1w) (-5 * 6 + 4w * 6) = -27(7 + -1w) (-30 + 24w) = -27(7 + -1w) -30 + 24w = (7 * -27 + -1w * -27) -30 + 24w = (-189 + 27w) Solving -30 + 24w = -189 + 27w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-27w' to each side of the equation. -30 + 24w + -27w = -189 + 27w + -27w Combine like terms: 24w + -27w = -3w -30 + -3w = -189 + 27w + -27w Combine like terms: 27w + -27w = 0 -30 + -3w = -189 + 0 -30 + -3w = -189 Add '30' to each side of the equation. -30 + 30 + -3w = -189 + 30 Combine like terms: -30 + 30 = 0 0 + -3w = -189 + 30 -3w = -189 + 30 Combine like terms: -189 + 30 = -159 -3w = -159 Divide each side by '-3'. w = 53 Simplifying w = 53
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