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Simplifying 7 = 3(h + 1) + -2 Reorder the terms: 7 = 3(1 + h) + -2 7 = (1 * 3 + h * 3) + -2 7 = (3 + 3h) + -2 Reorder the terms: 7 = 3 + -2 + 3h Combine like terms: 3 + -2 = 1 7 = 1 + 3h Solving 7 = 1 + 3h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-3h' to each side of the equation. 7 + -3h = 1 + 3h + -3h Combine like terms: 3h + -3h = 0 7 + -3h = 1 + 0 7 + -3h = 1 Add '-7' to each side of the equation. 7 + -7 + -3h = 1 + -7 Combine like terms: 7 + -7 = 0 0 + -3h = 1 + -7 -3h = 1 + -7 Combine like terms: 1 + -7 = -6 -3h = -6 Divide each side by '-3'. h = 2 Simplifying h = 2
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