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Simplifying 8(5h + -1) + -2(3 + -1h) = 7(7h + -4) Reorder the terms: 8(-1 + 5h) + -2(3 + -1h) = 7(7h + -4) (-1 * 8 + 5h * 8) + -2(3 + -1h) = 7(7h + -4) (-8 + 40h) + -2(3 + -1h) = 7(7h + -4) -8 + 40h + (3 * -2 + -1h * -2) = 7(7h + -4) -8 + 40h + (-6 + 2h) = 7(7h + -4) Reorder the terms: -8 + -6 + 40h + 2h = 7(7h + -4) Combine like terms: -8 + -6 = -14 -14 + 40h + 2h = 7(7h + -4) Combine like terms: 40h + 2h = 42h -14 + 42h = 7(7h + -4) Reorder the terms: -14 + 42h = 7(-4 + 7h) -14 + 42h = (-4 * 7 + 7h * 7) -14 + 42h = (-28 + 49h) Solving -14 + 42h = -28 + 49h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-49h' to each side of the equation. -14 + 42h + -49h = -28 + 49h + -49h Combine like terms: 42h + -49h = -7h -14 + -7h = -28 + 49h + -49h Combine like terms: 49h + -49h = 0 -14 + -7h = -28 + 0 -14 + -7h = -28 Add '14' to each side of the equation. -14 + 14 + -7h = -28 + 14 Combine like terms: -14 + 14 = 0 0 + -7h = -28 + 14 -7h = -28 + 14 Combine like terms: -28 + 14 = -14 -7h = -14 Divide each side by '-7'. h = 2 Simplifying h = 2
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