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Simplifying -8(h + 1) + 3(h + -2) = -3h + 2 Reorder the terms: -8(1 + h) + 3(h + -2) = -3h + 2 (1 * -8 + h * -8) + 3(h + -2) = -3h + 2 (-8 + -8h) + 3(h + -2) = -3h + 2 Reorder the terms: -8 + -8h + 3(-2 + h) = -3h + 2 -8 + -8h + (-2 * 3 + h * 3) = -3h + 2 -8 + -8h + (-6 + 3h) = -3h + 2 Reorder the terms: -8 + -6 + -8h + 3h = -3h + 2 Combine like terms: -8 + -6 = -14 -14 + -8h + 3h = -3h + 2 Combine like terms: -8h + 3h = -5h -14 + -5h = -3h + 2 Reorder the terms: -14 + -5h = 2 + -3h Solving -14 + -5h = 2 + -3h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '3h' to each side of the equation. -14 + -5h + 3h = 2 + -3h + 3h Combine like terms: -5h + 3h = -2h -14 + -2h = 2 + -3h + 3h Combine like terms: -3h + 3h = 0 -14 + -2h = 2 + 0 -14 + -2h = 2 Add '14' to each side of the equation. -14 + 14 + -2h = 2 + 14 Combine like terms: -14 + 14 = 0 0 + -2h = 2 + 14 -2h = 2 + 14 Combine like terms: 2 + 14 = 16 -2h = 16 Divide each side by '-2'. h = -8 Simplifying h = -8
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