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Simplifying 5(5w + -12) = 2 + -6(2w + -3) Reorder the terms: 5(-12 + 5w) = 2 + -6(2w + -3) (-12 * 5 + 5w * 5) = 2 + -6(2w + -3) (-60 + 25w) = 2 + -6(2w + -3) Reorder the terms: -60 + 25w = 2 + -6(-3 + 2w) -60 + 25w = 2 + (-3 * -6 + 2w * -6) -60 + 25w = 2 + (18 + -12w) Combine like terms: 2 + 18 = 20 -60 + 25w = 20 + -12w Solving -60 + 25w = 20 + -12w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '12w' to each side of the equation. -60 + 25w + 12w = 20 + -12w + 12w Combine like terms: 25w + 12w = 37w -60 + 37w = 20 + -12w + 12w Combine like terms: -12w + 12w = 0 -60 + 37w = 20 + 0 -60 + 37w = 20 Add '60' to each side of the equation. -60 + 60 + 37w = 20 + 60 Combine like terms: -60 + 60 = 0 0 + 37w = 20 + 60 37w = 20 + 60 Combine like terms: 20 + 60 = 80 37w = 80 Divide each side by '37'. w = 2.162162162 Simplifying w = 2.162162162
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