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Simplifying 8(h + -1) = 6(7 + 4 + 2h) Reorder the terms: 8(-1 + h) = 6(7 + 4 + 2h) (-1 * 8 + h * 8) = 6(7 + 4 + 2h) (-8 + 8h) = 6(7 + 4 + 2h) Combine like terms: 7 + 4 = 11 -8 + 8h = 6(11 + 2h) -8 + 8h = (11 * 6 + 2h * 6) -8 + 8h = (66 + 12h) Solving -8 + 8h = 66 + 12h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-12h' to each side of the equation. -8 + 8h + -12h = 66 + 12h + -12h Combine like terms: 8h + -12h = -4h -8 + -4h = 66 + 12h + -12h Combine like terms: 12h + -12h = 0 -8 + -4h = 66 + 0 -8 + -4h = 66 Add '8' to each side of the equation. -8 + 8 + -4h = 66 + 8 Combine like terms: -8 + 8 = 0 0 + -4h = 66 + 8 -4h = 66 + 8 Combine like terms: 66 + 8 = 74 -4h = 74 Divide each side by '-4'. h = -18.5 Simplifying h = -18.5
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