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Simplifying -5(-8h + 12) + -16h = 4(10h + 1) Reorder the terms: -5(12 + -8h) + -16h = 4(10h + 1) (12 * -5 + -8h * -5) + -16h = 4(10h + 1) (-60 + 40h) + -16h = 4(10h + 1) Combine like terms: 40h + -16h = 24h -60 + 24h = 4(10h + 1) Reorder the terms: -60 + 24h = 4(1 + 10h) -60 + 24h = (1 * 4 + 10h * 4) -60 + 24h = (4 + 40h) Solving -60 + 24h = 4 + 40h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-40h' to each side of the equation. -60 + 24h + -40h = 4 + 40h + -40h Combine like terms: 24h + -40h = -16h -60 + -16h = 4 + 40h + -40h Combine like terms: 40h + -40h = 0 -60 + -16h = 4 + 0 -60 + -16h = 4 Add '60' to each side of the equation. -60 + 60 + -16h = 4 + 60 Combine like terms: -60 + 60 = 0 0 + -16h = 4 + 60 -16h = 4 + 60 Combine like terms: 4 + 60 = 64 -16h = 64 Divide each side by '-16'. h = -4 Simplifying h = -4
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