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Simplifying 4(10 + 2h) = -2(-3h + -12) (10 * 4 + 2h * 4) = -2(-3h + -12) (40 + 8h) = -2(-3h + -12) Reorder the terms: 40 + 8h = -2(-12 + -3h) 40 + 8h = (-12 * -2 + -3h * -2) 40 + 8h = (24 + 6h) Solving 40 + 8h = 24 + 6h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-6h' to each side of the equation. 40 + 8h + -6h = 24 + 6h + -6h Combine like terms: 8h + -6h = 2h 40 + 2h = 24 + 6h + -6h Combine like terms: 6h + -6h = 0 40 + 2h = 24 + 0 40 + 2h = 24 Add '-40' to each side of the equation. 40 + -40 + 2h = 24 + -40 Combine like terms: 40 + -40 = 0 0 + 2h = 24 + -40 2h = 24 + -40 Combine like terms: 24 + -40 = -16 2h = -16 Divide each side by '2'. h = -8 Simplifying h = -8
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