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Simplifying -20w + -1(-10) = -2(19 + 6w) Multiply -1 * -10 -20w + 10 = -2(19 + 6w) Reorder the terms: 10 + -20w = -2(19 + 6w) 10 + -20w = (19 * -2 + 6w * -2) 10 + -20w = (-38 + -12w) Solving 10 + -20w = -38 + -12w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '12w' to each side of the equation. 10 + -20w + 12w = -38 + -12w + 12w Combine like terms: -20w + 12w = -8w 10 + -8w = -38 + -12w + 12w Combine like terms: -12w + 12w = 0 10 + -8w = -38 + 0 10 + -8w = -38 Add '-10' to each side of the equation. 10 + -10 + -8w = -38 + -10 Combine like terms: 10 + -10 = 0 0 + -8w = -38 + -10 -8w = -38 + -10 Combine like terms: -38 + -10 = -48 -8w = -48 Divide each side by '-8'. w = 6 Simplifying w = 6
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