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Simplifying 560(3b + 4t) = 490(2b + 5t) (3b * 560 + 4t * 560) = 490(2b + 5t) (1680b + 2240t) = 490(2b + 5t) 1680b + 2240t = (2b * 490 + 5t * 490) 1680b + 2240t = (980b + 2450t) Solving 1680b + 2240t = 980b + 2450t Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-980b' to each side of the equation. 1680b + -980b + 2240t = 980b + -980b + 2450t Combine like terms: 1680b + -980b = 700b 700b + 2240t = 980b + -980b + 2450t Combine like terms: 980b + -980b = 0 700b + 2240t = 0 + 2450t 700b + 2240t = 2450t Add '-2240t' to each side of the equation. 700b + 2240t + -2240t = 2450t + -2240t Combine like terms: 2240t + -2240t = 0 700b + 0 = 2450t + -2240t 700b = 2450t + -2240t Combine like terms: 2450t + -2240t = 210t 700b = 210t Divide each side by '700'. b = 0.3t Simplifying b = 0.3t
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