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Simplifying 3(3w + -2) = 8(2w + 3) Reorder the terms: 3(-2 + 3w) = 8(2w + 3) (-2 * 3 + 3w * 3) = 8(2w + 3) (-6 + 9w) = 8(2w + 3) Reorder the terms: -6 + 9w = 8(3 + 2w) -6 + 9w = (3 * 8 + 2w * 8) -6 + 9w = (24 + 16w) Solving -6 + 9w = 24 + 16w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-16w' to each side of the equation. -6 + 9w + -16w = 24 + 16w + -16w Combine like terms: 9w + -16w = -7w -6 + -7w = 24 + 16w + -16w Combine like terms: 16w + -16w = 0 -6 + -7w = 24 + 0 -6 + -7w = 24 Add '6' to each side of the equation. -6 + 6 + -7w = 24 + 6 Combine like terms: -6 + 6 = 0 0 + -7w = 24 + 6 -7w = 24 + 6 Combine like terms: 24 + 6 = 30 -7w = 30 Divide each side by '-7'. w = -4.285714286 Simplifying w = -4.285714286
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