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Simplifying 19 + 3b = 4 + -1(-6b + -6) Reorder the terms: 19 + 3b = 4 + -1(-6 + -6b) 19 + 3b = 4 + (-6 * -1 + -6b * -1) 19 + 3b = 4 + (6 + 6b) Combine like terms: 4 + 6 = 10 19 + 3b = 10 + 6b Solving 19 + 3b = 10 + 6b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-6b' to each side of the equation. 19 + 3b + -6b = 10 + 6b + -6b Combine like terms: 3b + -6b = -3b 19 + -3b = 10 + 6b + -6b Combine like terms: 6b + -6b = 0 19 + -3b = 10 + 0 19 + -3b = 10 Add '-19' to each side of the equation. 19 + -19 + -3b = 10 + -19 Combine like terms: 19 + -19 = 0 0 + -3b = 10 + -19 -3b = 10 + -19 Combine like terms: 10 + -19 = -9 -3b = -9 Divide each side by '-3'. b = 3 Simplifying b = 3
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