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Simplifying -15 = -9 + 7(h + 6) Reorder the terms: -15 = -9 + 7(6 + h) -15 = -9 + (6 * 7 + h * 7) -15 = -9 + (42 + 7h) Combine like terms: -9 + 42 = 33 -15 = 33 + 7h Solving -15 = 33 + 7h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-7h' to each side of the equation. -15 + -7h = 33 + 7h + -7h Combine like terms: 7h + -7h = 0 -15 + -7h = 33 + 0 -15 + -7h = 33 Add '15' to each side of the equation. -15 + 15 + -7h = 33 + 15 Combine like terms: -15 + 15 = 0 0 + -7h = 33 + 15 -7h = 33 + 15 Combine like terms: 33 + 15 = 48 -7h = 48 Divide each side by '-7'. h = -6.857142857 Simplifying h = -6.857142857
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