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Simplifying 8(5w + -2) = 14(8w + 5) Reorder the terms: 8(-2 + 5w) = 14(8w + 5) (-2 * 8 + 5w * 8) = 14(8w + 5) (-16 + 40w) = 14(8w + 5) Reorder the terms: -16 + 40w = 14(5 + 8w) -16 + 40w = (5 * 14 + 8w * 14) -16 + 40w = (70 + 112w) Solving -16 + 40w = 70 + 112w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-112w' to each side of the equation. -16 + 40w + -112w = 70 + 112w + -112w Combine like terms: 40w + -112w = -72w -16 + -72w = 70 + 112w + -112w Combine like terms: 112w + -112w = 0 -16 + -72w = 70 + 0 -16 + -72w = 70 Add '16' to each side of the equation. -16 + 16 + -72w = 70 + 16 Combine like terms: -16 + 16 = 0 0 + -72w = 70 + 16 -72w = 70 + 16 Combine like terms: 70 + 16 = 86 -72w = 86 Divide each side by '-72'. w = -1.194444444 Simplifying w = -1.194444444
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