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Simplifying 4(96.6w + -69.16) = -7(-46.8w + -48.68) Reorder the terms: 4(-69.16 + 96.6w) = -7(-46.8w + -48.68) (-69.16 * 4 + 96.6w * 4) = -7(-46.8w + -48.68) (-276.64 + 386.4w) = -7(-46.8w + -48.68) Reorder the terms: -276.64 + 386.4w = -7(-48.68 + -46.8w) -276.64 + 386.4w = (-48.68 * -7 + -46.8w * -7) -276.64 + 386.4w = (340.76 + 327.6w) Solving -276.64 + 386.4w = 340.76 + 327.6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-327.6w' to each side of the equation. -276.64 + 386.4w + -327.6w = 340.76 + 327.6w + -327.6w Combine like terms: 386.4w + -327.6w = 58.8w -276.64 + 58.8w = 340.76 + 327.6w + -327.6w Combine like terms: 327.6w + -327.6w = 0.0 -276.64 + 58.8w = 340.76 + 0.0 -276.64 + 58.8w = 340.76 Add '276.64' to each side of the equation. -276.64 + 276.64 + 58.8w = 340.76 + 276.64 Combine like terms: -276.64 + 276.64 = 0.00 0.00 + 58.8w = 340.76 + 276.64 58.8w = 340.76 + 276.64 Combine like terms: 340.76 + 276.64 = 617.4 58.8w = 617.4 Divide each side by '58.8'. w = 10.5 Simplifying w = 10.5
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