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Simplifying 5(h + -1) = 2(h + -4) + -6 Reorder the terms: 5(-1 + h) = 2(h + -4) + -6 (-1 * 5 + h * 5) = 2(h + -4) + -6 (-5 + 5h) = 2(h + -4) + -6 Reorder the terms: -5 + 5h = 2(-4 + h) + -6 -5 + 5h = (-4 * 2 + h * 2) + -6 -5 + 5h = (-8 + 2h) + -6 Reorder the terms: -5 + 5h = -8 + -6 + 2h Combine like terms: -8 + -6 = -14 -5 + 5h = -14 + 2h Solving -5 + 5h = -14 + 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. -5 + 5h + -2h = -14 + 2h + -2h Combine like terms: 5h + -2h = 3h -5 + 3h = -14 + 2h + -2h Combine like terms: 2h + -2h = 0 -5 + 3h = -14 + 0 -5 + 3h = -14 Add '5' to each side of the equation. -5 + 5 + 3h = -14 + 5 Combine like terms: -5 + 5 = 0 0 + 3h = -14 + 5 3h = -14 + 5 Combine like terms: -14 + 5 = -9 3h = -9 Divide each side by '3'. h = -3 Simplifying h = -3
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