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Simplifying 12(2w + -5) = 6w + 3(5x + -4) Reorder the terms: 12(-5 + 2w) = 6w + 3(5x + -4) (-5 * 12 + 2w * 12) = 6w + 3(5x + -4) (-60 + 24w) = 6w + 3(5x + -4) Reorder the terms: -60 + 24w = 6w + 3(-4 + 5x) -60 + 24w = 6w + (-4 * 3 + 5x * 3) -60 + 24w = 6w + (-12 + 15x) Reorder the terms: -60 + 24w = -12 + 6w + 15x Solving -60 + 24w = -12 + 6w + 15x Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. -60 + 24w + -6w = -12 + 6w + -6w + 15x Combine like terms: 24w + -6w = 18w -60 + 18w = -12 + 6w + -6w + 15x Combine like terms: 6w + -6w = 0 -60 + 18w = -12 + 0 + 15x -60 + 18w = -12 + 15x Add '60' to each side of the equation. -60 + 60 + 18w = -12 + 60 + 15x Combine like terms: -60 + 60 = 0 0 + 18w = -12 + 60 + 15x 18w = -12 + 60 + 15x Combine like terms: -12 + 60 = 48 18w = 48 + 15x Divide each side by '18'. w = 2.666666667 + 0.8333333333x Simplifying w = 2.666666667 + 0.8333333333x
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