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Simplifying -3(h + 5) + 2 = (h + 6) + -9 Reorder the terms: -3(5 + h) + 2 = (h + 6) + -9 (5 * -3 + h * -3) + 2 = (h + 6) + -9 (-15 + -3h) + 2 = (h + 6) + -9 Reorder the terms: -15 + 2 + -3h = (h + 6) + -9 Combine like terms: -15 + 2 = -13 -13 + -3h = (h + 6) + -9 Reorder the terms: -13 + -3h = (6 + h) + -9 Remove parenthesis around (6 + h) -13 + -3h = 6 + h + -9 Reorder the terms: -13 + -3h = 6 + -9 + h Combine like terms: 6 + -9 = -3 -13 + -3h = -3 + h Solving -13 + -3h = -3 + h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-1h' to each side of the equation. -13 + -3h + -1h = -3 + h + -1h Combine like terms: -3h + -1h = -4h -13 + -4h = -3 + h + -1h Combine like terms: h + -1h = 0 -13 + -4h = -3 + 0 -13 + -4h = -3 Add '13' to each side of the equation. -13 + 13 + -4h = -3 + 13 Combine like terms: -13 + 13 = 0 0 + -4h = -3 + 13 -4h = -3 + 13 Combine like terms: -3 + 13 = 10 -4h = 10 Divide each side by '-4'. h = -2.5 Simplifying h = -2.5
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