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Simplifying 10(4w + 2) = 40(x + -3) Reorder the terms: 10(2 + 4w) = 40(x + -3) (2 * 10 + 4w * 10) = 40(x + -3) (20 + 40w) = 40(x + -3) Reorder the terms: 20 + 40w = 40(-3 + x) 20 + 40w = (-3 * 40 + x * 40) 20 + 40w = (-120 + 40x) Solving 20 + 40w = -120 + 40x Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 40w = -120 + -20 + 40x Combine like terms: 20 + -20 = 0 0 + 40w = -120 + -20 + 40x 40w = -120 + -20 + 40x Combine like terms: -120 + -20 = -140 40w = -140 + 40x Divide each side by '40'. w = -3.5 + x Simplifying w = -3.5 + x
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