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Simplifying 2(2.5b + -9) + -2c = -7 Reorder the terms: 2(-9 + 2.5b) + -2c = -7 (-9 * 2 + 2.5b * 2) + -2c = -7 (-18 + 5b) + -2c = -7 Solving -18 + 5b + -2c = -7 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 5b + 18 + -2c = -7 + 18 Reorder the terms: -18 + 18 + 5b + -2c = -7 + 18 Combine like terms: -18 + 18 = 0 0 + 5b + -2c = -7 + 18 5b + -2c = -7 + 18 Combine like terms: -7 + 18 = 11 5b + -2c = 11 Add '2c' to each side of the equation. 5b + -2c + 2c = 11 + 2c Combine like terms: -2c + 2c = 0 5b + 0 = 11 + 2c 5b = 11 + 2c Divide each side by '5'. b = 2.2 + 0.4c Simplifying b = 2.2 + 0.4c
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