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Simplifying 6w + 3(5w + -4) = 12(2w + -5) Reorder the terms: 6w + 3(-4 + 5w) = 12(2w + -5) 6w + (-4 * 3 + 5w * 3) = 12(2w + -5) 6w + (-12 + 15w) = 12(2w + -5) Reorder the terms: -12 + 6w + 15w = 12(2w + -5) Combine like terms: 6w + 15w = 21w -12 + 21w = 12(2w + -5) Reorder the terms: -12 + 21w = 12(-5 + 2w) -12 + 21w = (-5 * 12 + 2w * 12) -12 + 21w = (-60 + 24w) Solving -12 + 21w = -60 + 24w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-24w' to each side of the equation. -12 + 21w + -24w = -60 + 24w + -24w Combine like terms: 21w + -24w = -3w -12 + -3w = -60 + 24w + -24w Combine like terms: 24w + -24w = 0 -12 + -3w = -60 + 0 -12 + -3w = -60 Add '12' to each side of the equation. -12 + 12 + -3w = -60 + 12 Combine like terms: -12 + 12 = 0 0 + -3w = -60 + 12 -3w = -60 + 12 Combine like terms: -60 + 12 = -48 -3w = -48 Divide each side by '-3'. w = 16 Simplifying w = 16
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