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Simplifying 4(w + -1) + -3 = -3(-6w + 7) + -2w Reorder the terms: 4(-1 + w) + -3 = -3(-6w + 7) + -2w (-1 * 4 + w * 4) + -3 = -3(-6w + 7) + -2w (-4 + 4w) + -3 = -3(-6w + 7) + -2w Reorder the terms: -4 + -3 + 4w = -3(-6w + 7) + -2w Combine like terms: -4 + -3 = -7 -7 + 4w = -3(-6w + 7) + -2w Reorder the terms: -7 + 4w = -3(7 + -6w) + -2w -7 + 4w = (7 * -3 + -6w * -3) + -2w -7 + 4w = (-21 + 18w) + -2w Combine like terms: 18w + -2w = 16w -7 + 4w = -21 + 16w Solving -7 + 4w = -21 + 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. -7 + 4w + -16w = -21 + 16w + -16w Combine like terms: 4w + -16w = -12w -7 + -12w = -21 + 16w + -16w Combine like terms: 16w + -16w = 0 -7 + -12w = -21 + 0 -7 + -12w = -21 Add '7' to each side of the equation. -7 + 7 + -12w = -21 + 7 Combine like terms: -7 + 7 = 0 0 + -12w = -21 + 7 -12w = -21 + 7 Combine like terms: -21 + 7 = -14 -12w = -14 Divide each side by '-12'. w = 1.166666667 Simplifying w = 1.166666667
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