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Simplifying 8(2w + -2) = 7(3w + 5) Reorder the terms: 8(-2 + 2w) = 7(3w + 5) (-2 * 8 + 2w * 8) = 7(3w + 5) (-16 + 16w) = 7(3w + 5) Reorder the terms: -16 + 16w = 7(5 + 3w) -16 + 16w = (5 * 7 + 3w * 7) -16 + 16w = (35 + 21w) Solving -16 + 16w = 35 + 21w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-21w' to each side of the equation. -16 + 16w + -21w = 35 + 21w + -21w Combine like terms: 16w + -21w = -5w -16 + -5w = 35 + 21w + -21w Combine like terms: 21w + -21w = 0 -16 + -5w = 35 + 0 -16 + -5w = 35 Add '16' to each side of the equation. -16 + 16 + -5w = 35 + 16 Combine like terms: -16 + 16 = 0 0 + -5w = 35 + 16 -5w = 35 + 16 Combine like terms: 35 + 16 = 51 -5w = 51 Divide each side by '-5'. w = -10.2 Simplifying w = -10.2
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