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Simplifying 8(w + -6) = 7(w + 9) Reorder the terms: 8(-6 + w) = 7(w + 9) (-6 * 8 + w * 8) = 7(w + 9) (-48 + 8w) = 7(w + 9) Reorder the terms: -48 + 8w = 7(9 + w) -48 + 8w = (9 * 7 + w * 7) -48 + 8w = (63 + 7w) Solving -48 + 8w = 63 + 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. -48 + 8w + -7w = 63 + 7w + -7w Combine like terms: 8w + -7w = 1w -48 + 1w = 63 + 7w + -7w Combine like terms: 7w + -7w = 0 -48 + 1w = 63 + 0 -48 + 1w = 63 Add '48' to each side of the equation. -48 + 48 + 1w = 63 + 48 Combine like terms: -48 + 48 = 0 0 + 1w = 63 + 48 1w = 63 + 48 Combine like terms: 63 + 48 = 111 1w = 111 Divide each side by '1'. w = 111 Simplifying w = 111
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