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Simplifying -7(w + 3) + -5 = 2(6w + -4) Reorder the terms: -7(3 + w) + -5 = 2(6w + -4) (3 * -7 + w * -7) + -5 = 2(6w + -4) (-21 + -7w) + -5 = 2(6w + -4) Reorder the terms: -21 + -5 + -7w = 2(6w + -4) Combine like terms: -21 + -5 = -26 -26 + -7w = 2(6w + -4) Reorder the terms: -26 + -7w = 2(-4 + 6w) -26 + -7w = (-4 * 2 + 6w * 2) -26 + -7w = (-8 + 12w) Solving -26 + -7w = -8 + 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. -26 + -7w + -12w = -8 + 12w + -12w Combine like terms: -7w + -12w = -19w -26 + -19w = -8 + 12w + -12w Combine like terms: 12w + -12w = 0 -26 + -19w = -8 + 0 -26 + -19w = -8 Add '26' to each side of the equation. -26 + 26 + -19w = -8 + 26 Combine like terms: -26 + 26 = 0 0 + -19w = -8 + 26 -19w = -8 + 26 Combine like terms: -8 + 26 = 18 -19w = 18 Divide each side by '-19'. w = -0.9473684211 Simplifying w = -0.9473684211
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