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Simplifying 19(h + 8 + 2k) = 0 Reorder the terms: 19(8 + h + 2k) = 0 (8 * 19 + h * 19 + 2k * 19) = 0 (152 + 19h + 38k) = 0 Solving 152 + 19h + 38k = 0 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-152' to each side of the equation. 152 + 19h + -152 + 38k = 0 + -152 Reorder the terms: 152 + -152 + 19h + 38k = 0 + -152 Combine like terms: 152 + -152 = 0 0 + 19h + 38k = 0 + -152 19h + 38k = 0 + -152 Combine like terms: 0 + -152 = -152 19h + 38k = -152 Add '-38k' to each side of the equation. 19h + 38k + -38k = -152 + -38k Combine like terms: 38k + -38k = 0 19h + 0 = -152 + -38k 19h = -152 + -38k Divide each side by '19'. h = -8 + -2k Simplifying h = -8 + -2k
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