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Simplifying 6h + -1(2 + -4h) = 4(2h + -3) 6h + (2 * -1 + -4h * -1) = 4(2h + -3) 6h + (-2 + 4h) = 4(2h + -3) Reorder the terms: -2 + 6h + 4h = 4(2h + -3) Combine like terms: 6h + 4h = 10h -2 + 10h = 4(2h + -3) Reorder the terms: -2 + 10h = 4(-3 + 2h) -2 + 10h = (-3 * 4 + 2h * 4) -2 + 10h = (-12 + 8h) Solving -2 + 10h = -12 + 8h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-8h' to each side of the equation. -2 + 10h + -8h = -12 + 8h + -8h Combine like terms: 10h + -8h = 2h -2 + 2h = -12 + 8h + -8h Combine like terms: 8h + -8h = 0 -2 + 2h = -12 + 0 -2 + 2h = -12 Add '2' to each side of the equation. -2 + 2 + 2h = -12 + 2 Combine like terms: -2 + 2 = 0 0 + 2h = -12 + 2 2h = -12 + 2 Combine like terms: -12 + 2 = -10 2h = -10 Divide each side by '2'. h = -5 Simplifying h = -5
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