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Simplifying 8(h + -5) = 2(2h + -4) Reorder the terms: 8(-5 + h) = 2(2h + -4) (-5 * 8 + h * 8) = 2(2h + -4) (-40 + 8h) = 2(2h + -4) Reorder the terms: -40 + 8h = 2(-4 + 2h) -40 + 8h = (-4 * 2 + 2h * 2) -40 + 8h = (-8 + 4h) Solving -40 + 8h = -8 + 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. -40 + 8h + -4h = -8 + 4h + -4h Combine like terms: 8h + -4h = 4h -40 + 4h = -8 + 4h + -4h Combine like terms: 4h + -4h = 0 -40 + 4h = -8 + 0 -40 + 4h = -8 Add '40' to each side of the equation. -40 + 40 + 4h = -8 + 40 Combine like terms: -40 + 40 = 0 0 + 4h = -8 + 40 4h = -8 + 40 Combine like terms: -8 + 40 = 32 4h = 32 Divide each side by '4'. h = 8 Simplifying h = 8
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