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Simplifying 3(2w + -11) = 5(6 + -3w) Reorder the terms: 3(-11 + 2w) = 5(6 + -3w) (-11 * 3 + 2w * 3) = 5(6 + -3w) (-33 + 6w) = 5(6 + -3w) -33 + 6w = (6 * 5 + -3w * 5) -33 + 6w = (30 + -15w) Solving -33 + 6w = 30 + -15w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '15w' to each side of the equation. -33 + 6w + 15w = 30 + -15w + 15w Combine like terms: 6w + 15w = 21w -33 + 21w = 30 + -15w + 15w Combine like terms: -15w + 15w = 0 -33 + 21w = 30 + 0 -33 + 21w = 30 Add '33' to each side of the equation. -33 + 33 + 21w = 30 + 33 Combine like terms: -33 + 33 = 0 0 + 21w = 30 + 33 21w = 30 + 33 Combine like terms: 30 + 33 = 63 21w = 63 Divide each side by '21'. w = 3 Simplifying w = 3
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