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Simplifying 152 = 4(8 + 4) + 2(4 + h) Combine like terms: 8 + 4 = 12 152 = 4(12) + 2(4 + h) Multiply 4 * 12 152 = 48 + 2(4 + h) 152 = 48 + (4 * 2 + h * 2) 152 = 48 + (8 + 2h) Combine like terms: 48 + 8 = 56 152 = 56 + 2h Solving 152 = 56 + 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. 152 + -2h = 56 + 2h + -2h Combine like terms: 2h + -2h = 0 152 + -2h = 56 + 0 152 + -2h = 56 Add '-152' to each side of the equation. 152 + -152 + -2h = 56 + -152 Combine like terms: 152 + -152 = 0 0 + -2h = 56 + -152 -2h = 56 + -152 Combine like terms: 56 + -152 = -96 -2h = -96 Divide each side by '-2'. h = 48 Simplifying h = 48
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