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Simplifying 114 = 4(7 + 3) + 2(3 + h) Combine like terms: 7 + 3 = 10 114 = 4(10) + 2(3 + h) Multiply 4 * 10 114 = 40 + 2(3 + h) 114 = 40 + (3 * 2 + h * 2) 114 = 40 + (6 + 2h) Combine like terms: 40 + 6 = 46 114 = 46 + 2h Solving 114 = 46 + 2h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-2h' to each side of the equation. 114 + -2h = 46 + 2h + -2h Combine like terms: 2h + -2h = 0 114 + -2h = 46 + 0 114 + -2h = 46 Add '-114' to each side of the equation. 114 + -114 + -2h = 46 + -114 Combine like terms: 114 + -114 = 0 0 + -2h = 46 + -114 -2h = 46 + -114 Combine like terms: 46 + -114 = -68 -2h = -68 Divide each side by '-2'. h = 34 Simplifying h = 34
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