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Simplifying -29 = 2 + 8(h + 7) Reorder the terms: -29 = 2 + 8(7 + h) -29 = 2 + (7 * 8 + h * 8) -29 = 2 + (56 + 8h) Combine like terms: 2 + 56 = 58 -29 = 58 + 8h Solving -29 = 58 + 8h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-8h' to each side of the equation. -29 + -8h = 58 + 8h + -8h Combine like terms: 8h + -8h = 0 -29 + -8h = 58 + 0 -29 + -8h = 58 Add '29' to each side of the equation. -29 + 29 + -8h = 58 + 29 Combine like terms: -29 + 29 = 0 0 + -8h = 58 + 29 -8h = 58 + 29 Combine like terms: 58 + 29 = 87 -8h = 87 Divide each side by '-8'. h = -10.875 Simplifying h = -10.875
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