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Simplifying 6(w + -2) + -4 = -3(-7w + 8) + -5w Reorder the terms: 6(-2 + w) + -4 = -3(-7w + 8) + -5w (-2 * 6 + w * 6) + -4 = -3(-7w + 8) + -5w (-12 + 6w) + -4 = -3(-7w + 8) + -5w Reorder the terms: -12 + -4 + 6w = -3(-7w + 8) + -5w Combine like terms: -12 + -4 = -16 -16 + 6w = -3(-7w + 8) + -5w Reorder the terms: -16 + 6w = -3(8 + -7w) + -5w -16 + 6w = (8 * -3 + -7w * -3) + -5w -16 + 6w = (-24 + 21w) + -5w Combine like terms: 21w + -5w = 16w -16 + 6w = -24 + 16w Solving -16 + 6w = -24 + 16w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-16w' to each side of the equation. -16 + 6w + -16w = -24 + 16w + -16w Combine like terms: 6w + -16w = -10w -16 + -10w = -24 + 16w + -16w Combine like terms: 16w + -16w = 0 -16 + -10w = -24 + 0 -16 + -10w = -24 Add '16' to each side of the equation. -16 + 16 + -10w = -24 + 16 Combine like terms: -16 + 16 = 0 0 + -10w = -24 + 16 -10w = -24 + 16 Combine like terms: -24 + 16 = -8 -10w = -8 Divide each side by '-10'. w = 0.8 Simplifying w = 0.8
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