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Simplifying 17 + 2b + -4c = 4(a + -7) + -3 Reorder the terms: 17 + 2b + -4c = 4(-7 + a) + -3 17 + 2b + -4c = (-7 * 4 + a * 4) + -3 17 + 2b + -4c = (-28 + 4a) + -3 Reorder the terms: 17 + 2b + -4c = -28 + -3 + 4a Combine like terms: -28 + -3 = -31 17 + 2b + -4c = -31 + 4a Solving 17 + 2b + -4c = -31 + 4a Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + 2b + -17 + -4c = -31 + -17 + 4a Reorder the terms: 17 + -17 + 2b + -4c = -31 + -17 + 4a Combine like terms: 17 + -17 = 0 0 + 2b + -4c = -31 + -17 + 4a 2b + -4c = -31 + -17 + 4a Combine like terms: -31 + -17 = -48 2b + -4c = -48 + 4a Add '4c' to each side of the equation. 2b + -4c + 4c = -48 + 4a + 4c Combine like terms: -4c + 4c = 0 2b + 0 = -48 + 4a + 4c 2b = -48 + 4a + 4c Divide each side by '2'. b = -24 + 2a + 2c Simplifying b = -24 + 2a + 2c
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