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Simplifying 7[8 + -3h] = 21h + -49 [8 * 7 + -3h * 7] = 21h + -49 [56 + -21h] = 21h + -49 Reorder the terms: 56 + -21h = -49 + 21h Solving 56 + -21h = -49 + 21h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-21h' to each side of the equation. 56 + -21h + -21h = -49 + 21h + -21h Combine like terms: -21h + -21h = -42h 56 + -42h = -49 + 21h + -21h Combine like terms: 21h + -21h = 0 56 + -42h = -49 + 0 56 + -42h = -49 Add '-56' to each side of the equation. 56 + -56 + -42h = -49 + -56 Combine like terms: 56 + -56 = 0 0 + -42h = -49 + -56 -42h = -49 + -56 Combine like terms: -49 + -56 = -105 -42h = -105 Divide each side by '-42'. h = 2.5 Simplifying h = 2.5
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