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Simplifying 0.5(a + b) * h = 160 Reorder the terms for easier multiplication: 0.5h(a + b) = 160 (a * 0.5h + b * 0.5h) = 160 (0.5ah + 0.5bh) = 160 Solving 0.5ah + 0.5bh = 160 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-0.5bh' to each side of the equation. 0.5ah + 0.5bh + -0.5bh = 160 + -0.5bh Combine like terms: 0.5bh + -0.5bh = 0.0 0.5ah + 0.0 = 160 + -0.5bh 0.5ah = 160 + -0.5bh Divide each side by '0.5h'. a = 320h-1 + -1b Simplifying a = 320h-1 + -1b Reorder the terms: a = -1b + 320h-1
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