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Simplifying (3r + -2w + 4h) + -1(2r + -4w) = 0 Reorder the terms: (4h + 3r + -2w) + -1(2r + -4w) = 0 Remove parenthesis around (4h + 3r + -2w) 4h + 3r + -2w + -1(2r + -4w) = 0 4h + 3r + -2w + (2r * -1 + -4w * -1) = 0 4h + 3r + -2w + (-2r + 4w) = 0 Reorder the terms: 4h + 3r + -2r + -2w + 4w = 0 Combine like terms: 3r + -2r = 1r 4h + 1r + -2w + 4w = 0 Combine like terms: -2w + 4w = 2w 4h + 1r + 2w = 0 Solving 4h + 1r + 2w = 0 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-1r' to each side of the equation. 4h + 1r + -1r + 2w = 0 + -1r Combine like terms: 1r + -1r = 0 4h + 0 + 2w = 0 + -1r 4h + 2w = 0 + -1r Remove the zero: 4h + 2w = -1r Add '-2w' to each side of the equation. 4h + 2w + -2w = -1r + -2w Combine like terms: 2w + -2w = 0 4h + 0 = -1r + -2w 4h = -1r + -2w Divide each side by '4'. h = -0.25r + -0.5w Simplifying h = -0.25r + -0.5w
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