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Simplifying 5b + 3(b + -1) + 19 = 12b Reorder the terms: 5b + 3(-1 + b) + 19 = 12b 5b + (-1 * 3 + b * 3) + 19 = 12b 5b + (-3 + 3b) + 19 = 12b Reorder the terms: -3 + 19 + 5b + 3b = 12b Combine like terms: -3 + 19 = 16 16 + 5b + 3b = 12b Combine like terms: 5b + 3b = 8b 16 + 8b = 12b Solving 16 + 8b = 12b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-12b' to each side of the equation. 16 + 8b + -12b = 12b + -12b Combine like terms: 8b + -12b = -4b 16 + -4b = 12b + -12b Combine like terms: 12b + -12b = 0 16 + -4b = 0 Add '-16' to each side of the equation. 16 + -16 + -4b = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -4b = 0 + -16 -4b = 0 + -16 Combine like terms: 0 + -16 = -16 -4b = -16 Divide each side by '-4'. b = 4 Simplifying b = 4
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