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Simplifying 978 = (424 + d) + (2b + 414) Remove parenthesis around (424 + d) 978 = 424 + d + (2b + 414) Reorder the terms: 978 = 424 + d + (414 + 2b) Remove parenthesis around (414 + 2b) 978 = 424 + d + 414 + 2b Reorder the terms: 978 = 424 + 414 + 2b + d Combine like terms: 424 + 414 = 838 978 = 838 + 2b + d Solving 978 = 838 + 2b + d Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-2b' to each side of the equation. 978 + -2b = 838 + 2b + -2b + d Combine like terms: 2b + -2b = 0 978 + -2b = 838 + 0 + d 978 + -2b = 838 + d Add '-978' to each side of the equation. 978 + -978 + -2b = 838 + -978 + d Combine like terms: 978 + -978 = 0 0 + -2b = 838 + -978 + d -2b = 838 + -978 + d Combine like terms: 838 + -978 = -140 -2b = -140 + d Divide each side by '-2'. b = 70 + -0.5d Simplifying b = 70 + -0.5d
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