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Simplifying 8(-3w + 20) + 16 = 8(-1w + 2) Reorder the terms: 8(20 + -3w) + 16 = 8(-1w + 2) (20 * 8 + -3w * 8) + 16 = 8(-1w + 2) (160 + -24w) + 16 = 8(-1w + 2) Reorder the terms: 160 + 16 + -24w = 8(-1w + 2) Combine like terms: 160 + 16 = 176 176 + -24w = 8(-1w + 2) Reorder the terms: 176 + -24w = 8(2 + -1w) 176 + -24w = (2 * 8 + -1w * 8) 176 + -24w = (16 + -8w) Solving 176 + -24w = 16 + -8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '8w' to each side of the equation. 176 + -24w + 8w = 16 + -8w + 8w Combine like terms: -24w + 8w = -16w 176 + -16w = 16 + -8w + 8w Combine like terms: -8w + 8w = 0 176 + -16w = 16 + 0 176 + -16w = 16 Add '-176' to each side of the equation. 176 + -176 + -16w = 16 + -176 Combine like terms: 176 + -176 = 0 0 + -16w = 16 + -176 -16w = 16 + -176 Combine like terms: 16 + -176 = -160 -16w = -160 Divide each side by '-16'. w = 10 Simplifying w = 10
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