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Simplifying -3(h + 6) = 7 + -2(h + 6) Reorder the terms: -3(6 + h) = 7 + -2(h + 6) (6 * -3 + h * -3) = 7 + -2(h + 6) (-18 + -3h) = 7 + -2(h + 6) Reorder the terms: -18 + -3h = 7 + -2(6 + h) -18 + -3h = 7 + (6 * -2 + h * -2) -18 + -3h = 7 + (-12 + -2h) Combine like terms: 7 + -12 = -5 -18 + -3h = -5 + -2h Solving -18 + -3h = -5 + -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. -18 + -3h + 2h = -5 + -2h + 2h Combine like terms: -3h + 2h = -1h -18 + -1h = -5 + -2h + 2h Combine like terms: -2h + 2h = 0 -18 + -1h = -5 + 0 -18 + -1h = -5 Add '18' to each side of the equation. -18 + 18 + -1h = -5 + 18 Combine like terms: -18 + 18 = 0 0 + -1h = -5 + 18 -1h = -5 + 18 Combine like terms: -5 + 18 = 13 -1h = 13 Divide each side by '-1'. h = -13 Simplifying h = -13
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