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Simplifying 0.5(h + 4) + 2 = 3(2 + -3) Reorder the terms: 0.5(4 + h) + 2 = 3(2 + -3) (4 * 0.5 + h * 0.5) + 2 = 3(2 + -3) (2 + 0.5h) + 2 = 3(2 + -3) Reorder the terms: 2 + 2 + 0.5h = 3(2 + -3) Combine like terms: 2 + 2 = 4 4 + 0.5h = 3(2 + -3) Combine like terms: 2 + -3 = -1 4 + 0.5h = 3(-1) Multiply 3 * -1 4 + 0.5h = -3 Solving 4 + 0.5h = -3 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 0.5h = -3 + -4 Combine like terms: 4 + -4 = 0 0 + 0.5h = -3 + -4 0.5h = -3 + -4 Combine like terms: -3 + -4 = -7 0.5h = -7 Divide each side by '0.5'. h = -14 Simplifying h = -14
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