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Simplifying 2(w + -2) + -9 = -4(-4w + 1) + -8w Reorder the terms: 2(-2 + w) + -9 = -4(-4w + 1) + -8w (-2 * 2 + w * 2) + -9 = -4(-4w + 1) + -8w (-4 + 2w) + -9 = -4(-4w + 1) + -8w Reorder the terms: -4 + -9 + 2w = -4(-4w + 1) + -8w Combine like terms: -4 + -9 = -13 -13 + 2w = -4(-4w + 1) + -8w Reorder the terms: -13 + 2w = -4(1 + -4w) + -8w -13 + 2w = (1 * -4 + -4w * -4) + -8w -13 + 2w = (-4 + 16w) + -8w Combine like terms: 16w + -8w = 8w -13 + 2w = -4 + 8w Solving -13 + 2w = -4 + 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. -13 + 2w + -8w = -4 + 8w + -8w Combine like terms: 2w + -8w = -6w -13 + -6w = -4 + 8w + -8w Combine like terms: 8w + -8w = 0 -13 + -6w = -4 + 0 -13 + -6w = -4 Add '13' to each side of the equation. -13 + 13 + -6w = -4 + 13 Combine like terms: -13 + 13 = 0 0 + -6w = -4 + 13 -6w = -4 + 13 Combine like terms: -4 + 13 = 9 -6w = 9 Divide each side by '-6'. w = -1.5 Simplifying w = -1.5
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