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Simplifying 1205(2w + -13) = 3(2w + -5) Reorder the terms: 1205(-13 + 2w) = 3(2w + -5) (-13 * 1205 + 2w * 1205) = 3(2w + -5) (-15665 + 2410w) = 3(2w + -5) Reorder the terms: -15665 + 2410w = 3(-5 + 2w) -15665 + 2410w = (-5 * 3 + 2w * 3) -15665 + 2410w = (-15 + 6w) Solving -15665 + 2410w = -15 + 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. -15665 + 2410w + -6w = -15 + 6w + -6w Combine like terms: 2410w + -6w = 2404w -15665 + 2404w = -15 + 6w + -6w Combine like terms: 6w + -6w = 0 -15665 + 2404w = -15 + 0 -15665 + 2404w = -15 Add '15665' to each side of the equation. -15665 + 15665 + 2404w = -15 + 15665 Combine like terms: -15665 + 15665 = 0 0 + 2404w = -15 + 15665 2404w = -15 + 15665 Combine like terms: -15 + 15665 = 15650 2404w = 15650 Divide each side by '2404'. w = 6.509983361 Simplifying w = 6.509983361
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