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Simplifying 2(w + -2) + -4 = 8(w + -3) + 15 Reorder the terms: 2(-2 + w) + -4 = 8(w + -3) + 15 (-2 * 2 + w * 2) + -4 = 8(w + -3) + 15 (-4 + 2w) + -4 = 8(w + -3) + 15 Reorder the terms: -4 + -4 + 2w = 8(w + -3) + 15 Combine like terms: -4 + -4 = -8 -8 + 2w = 8(w + -3) + 15 Reorder the terms: -8 + 2w = 8(-3 + w) + 15 -8 + 2w = (-3 * 8 + w * 8) + 15 -8 + 2w = (-24 + 8w) + 15 Reorder the terms: -8 + 2w = -24 + 15 + 8w Combine like terms: -24 + 15 = -9 -8 + 2w = -9 + 8w Solving -8 + 2w = -9 + 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. -8 + 2w + -8w = -9 + 8w + -8w Combine like terms: 2w + -8w = -6w -8 + -6w = -9 + 8w + -8w Combine like terms: 8w + -8w = 0 -8 + -6w = -9 + 0 -8 + -6w = -9 Add '8' to each side of the equation. -8 + 8 + -6w = -9 + 8 Combine like terms: -8 + 8 = 0 0 + -6w = -9 + 8 -6w = -9 + 8 Combine like terms: -9 + 8 = -1 -6w = -1 Divide each side by '-6'. w = 0.1666666667 Simplifying w = 0.1666666667
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