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Simplifying 3(h + -7) + 4h = 5h + -1(h + -3) Reorder the terms: 3(-7 + h) + 4h = 5h + -1(h + -3) (-7 * 3 + h * 3) + 4h = 5h + -1(h + -3) (-21 + 3h) + 4h = 5h + -1(h + -3) Combine like terms: 3h + 4h = 7h -21 + 7h = 5h + -1(h + -3) Reorder the terms: -21 + 7h = 5h + -1(-3 + h) -21 + 7h = 5h + (-3 * -1 + h * -1) -21 + 7h = 5h + (3 + -1h) Reorder the terms: -21 + 7h = 3 + 5h + -1h Combine like terms: 5h + -1h = 4h -21 + 7h = 3 + 4h Solving -21 + 7h = 3 + 4h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-4h' to each side of the equation. -21 + 7h + -4h = 3 + 4h + -4h Combine like terms: 7h + -4h = 3h -21 + 3h = 3 + 4h + -4h Combine like terms: 4h + -4h = 0 -21 + 3h = 3 + 0 -21 + 3h = 3 Add '21' to each side of the equation. -21 + 21 + 3h = 3 + 21 Combine like terms: -21 + 21 = 0 0 + 3h = 3 + 21 3h = 3 + 21 Combine like terms: 3 + 21 = 24 3h = 24 Divide each side by '3'. h = 8 Simplifying h = 8
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