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Simplifying 5(9m + 5 + -6h + 4) + 2h + -3 = 0 Reorder the terms: 5(5 + 4 + -6h + 9m) + 2h + -3 = 0 Combine like terms: 5 + 4 = 9 5(9 + -6h + 9m) + 2h + -3 = 0 (9 * 5 + -6h * 5 + 9m * 5) + 2h + -3 = 0 (45 + -30h + 45m) + 2h + -3 = 0 Reorder the terms: 45 + -3 + -30h + 2h + 45m = 0 Combine like terms: 45 + -3 = 42 42 + -30h + 2h + 45m = 0 Combine like terms: -30h + 2h = -28h 42 + -28h + 45m = 0 Solving 42 + -28h + 45m = 0 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -28h + -42 + 45m = 0 + -42 Reorder the terms: 42 + -42 + -28h + 45m = 0 + -42 Combine like terms: 42 + -42 = 0 0 + -28h + 45m = 0 + -42 -28h + 45m = 0 + -42 Combine like terms: 0 + -42 = -42 -28h + 45m = -42 Add '-45m' to each side of the equation. -28h + 45m + -45m = -42 + -45m Combine like terms: 45m + -45m = 0 -28h + 0 = -42 + -45m -28h = -42 + -45m Divide each side by '-28'. h = 1.5 + 1.607142857m Simplifying h = 1.5 + 1.607142857m
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