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Simplifying -3(h + 5) + 2 = 4(h + 6) Reorder the terms: -3(5 + h) + 2 = 4(h + 6) (5 * -3 + h * -3) + 2 = 4(h + 6) (-15 + -3h) + 2 = 4(h + 6) Reorder the terms: -15 + 2 + -3h = 4(h + 6) Combine like terms: -15 + 2 = -13 -13 + -3h = 4(h + 6) Reorder the terms: -13 + -3h = 4(6 + h) -13 + -3h = (6 * 4 + h * 4) -13 + -3h = (24 + 4h) Solving -13 + -3h = 24 + 4h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-4h' to each side of the equation. -13 + -3h + -4h = 24 + 4h + -4h Combine like terms: -3h + -4h = -7h -13 + -7h = 24 + 4h + -4h Combine like terms: 4h + -4h = 0 -13 + -7h = 24 + 0 -13 + -7h = 24 Add '13' to each side of the equation. -13 + 13 + -7h = 24 + 13 Combine like terms: -13 + 13 = 0 0 + -7h = 24 + 13 -7h = 24 + 13 Combine like terms: 24 + 13 = 37 -7h = 37 Divide each side by '-7'. h = -5.285714286 Simplifying h = -5.285714286
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