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Simplifying 3(c + 6) + -4b = 2b + -16 + 5(a + 1) Reorder the terms: 3(6 + c) + -4b = 2b + -16 + 5(a + 1) (6 * 3 + c * 3) + -4b = 2b + -16 + 5(a + 1) (18 + 3c) + -4b = 2b + -16 + 5(a + 1) Reorder the terms: 18 + -4b + 3c = 2b + -16 + 5(a + 1) Reorder the terms: 18 + -4b + 3c = 2b + -16 + 5(1 + a) 18 + -4b + 3c = 2b + -16 + (1 * 5 + a * 5) 18 + -4b + 3c = 2b + -16 + (5 + 5a) Reorder the terms: 18 + -4b + 3c = -16 + 5 + 5a + 2b Combine like terms: -16 + 5 = -11 18 + -4b + 3c = -11 + 5a + 2b Solving 18 + -4b + 3c = -11 + 5a + 2b 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. 18 + -4b + -2b + 3c = -11 + 5a + 2b + -2b Combine like terms: -4b + -2b = -6b 18 + -6b + 3c = -11 + 5a + 2b + -2b Combine like terms: 2b + -2b = 0 18 + -6b + 3c = -11 + 5a + 0 18 + -6b + 3c = -11 + 5a Add '-18' to each side of the equation. 18 + -6b + -18 + 3c = -11 + -18 + 5a Reorder the terms: 18 + -18 + -6b + 3c = -11 + -18 + 5a Combine like terms: 18 + -18 = 0 0 + -6b + 3c = -11 + -18 + 5a -6b + 3c = -11 + -18 + 5a Combine like terms: -11 + -18 = -29 -6b + 3c = -29 + 5a Add '-3c' to each side of the equation. -6b + 3c + -3c = -29 + 5a + -3c Combine like terms: 3c + -3c = 0 -6b + 0 = -29 + 5a + -3c -6b = -29 + 5a + -3c Divide each side by '-6'. b = 4.833333333 + -0.8333333333a + 0.5c Simplifying b = 4.833333333 + -0.8333333333a + 0.5c
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