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