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Simplifying 3p + 4h + 10 = 6p + -8h + 4 Reorder the terms: 10 + 4h + 3p = 6p + -8h + 4 Reorder the terms: 10 + 4h + 3p = 4 + -8h + 6p Solving 10 + 4h + 3p = 4 + -8h + 6p Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '8h' to each side of the equation. 10 + 4h + 8h + 3p = 4 + -8h + 8h + 6p Combine like terms: 4h + 8h = 12h 10 + 12h + 3p = 4 + -8h + 8h + 6p Combine like terms: -8h + 8h = 0 10 + 12h + 3p = 4 + 0 + 6p 10 + 12h + 3p = 4 + 6p Add '-10' to each side of the equation. 10 + 12h + -10 + 3p = 4 + -10 + 6p Reorder the terms: 10 + -10 + 12h + 3p = 4 + -10 + 6p Combine like terms: 10 + -10 = 0 0 + 12h + 3p = 4 + -10 + 6p 12h + 3p = 4 + -10 + 6p Combine like terms: 4 + -10 = -6 12h + 3p = -6 + 6p Add '-3p' to each side of the equation. 12h + 3p + -3p = -6 + 6p + -3p Combine like terms: 3p + -3p = 0 12h + 0 = -6 + 6p + -3p 12h = -6 + 6p + -3p Combine like terms: 6p + -3p = 3p 12h = -6 + 3p Divide each side by '12'. h = -0.5 + 0.25p Simplifying h = -0.5 + 0.25p
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