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Simplifying 8w + -28 = 6(w + -24) Reorder the terms: -28 + 8w = 6(w + -24) Reorder the terms: -28 + 8w = 6(-24 + w) -28 + 8w = (-24 * 6 + w * 6) -28 + 8w = (-144 + 6w) Solving -28 + 8w = -144 + 6w 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. -28 + 8w + -6w = -144 + 6w + -6w Combine like terms: 8w + -6w = 2w -28 + 2w = -144 + 6w + -6w Combine like terms: 6w + -6w = 0 -28 + 2w = -144 + 0 -28 + 2w = -144 Add '28' to each side of the equation. -28 + 28 + 2w = -144 + 28 Combine like terms: -28 + 28 = 0 0 + 2w = -144 + 28 2w = -144 + 28 Combine like terms: -144 + 28 = -116 2w = -116 Divide each side by '2'. w = -58 Simplifying w = -58
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