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Simplifying 8(-8h + 1) + 3(h + -2) + 14 = 0 Reorder the terms: 8(1 + -8h) + 3(h + -2) + 14 = 0 (1 * 8 + -8h * 8) + 3(h + -2) + 14 = 0 (8 + -64h) + 3(h + -2) + 14 = 0 Reorder the terms: 8 + -64h + 3(-2 + h) + 14 = 0 8 + -64h + (-2 * 3 + h * 3) + 14 = 0 8 + -64h + (-6 + 3h) + 14 = 0 Reorder the terms: 8 + -6 + 14 + -64h + 3h = 0 Combine like terms: 8 + -6 = 2 2 + 14 + -64h + 3h = 0 Combine like terms: 2 + 14 = 16 16 + -64h + 3h = 0 Combine like terms: -64h + 3h = -61h 16 + -61h = 0 Solving 16 + -61h = 0 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -61h = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -61h = 0 + -16 -61h = 0 + -16 Combine like terms: 0 + -16 = -16 -61h = -16 Divide each side by '-61'. h = 0.262295082 Simplifying h = 0.262295082
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