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Simplifying 6(2 + -3h) + 7(1 + 3h) = 0 (2 * 6 + -3h * 6) + 7(1 + 3h) = 0 (12 + -18h) + 7(1 + 3h) = 0 12 + -18h + (1 * 7 + 3h * 7) = 0 12 + -18h + (7 + 21h) = 0 Reorder the terms: 12 + 7 + -18h + 21h = 0 Combine like terms: 12 + 7 = 19 19 + -18h + 21h = 0 Combine like terms: -18h + 21h = 3h 19 + 3h = 0 Solving 19 + 3h = 0 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + 3h = 0 + -19 Combine like terms: 19 + -19 = 0 0 + 3h = 0 + -19 3h = 0 + -19 Combine like terms: 0 + -19 = -19 3h = -19 Divide each side by '3'. h = -6.333333333 Simplifying h = -6.333333333
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