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Simplifying 16b + -5 = 3(4b + 9) Reorder the terms: -5 + 16b = 3(4b + 9) Reorder the terms: -5 + 16b = 3(9 + 4b) -5 + 16b = (9 * 3 + 4b * 3) -5 + 16b = (27 + 12b) Solving -5 + 16b = 27 + 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. -5 + 16b + -12b = 27 + 12b + -12b Combine like terms: 16b + -12b = 4b -5 + 4b = 27 + 12b + -12b Combine like terms: 12b + -12b = 0 -5 + 4b = 27 + 0 -5 + 4b = 27 Add '5' to each side of the equation. -5 + 5 + 4b = 27 + 5 Combine like terms: -5 + 5 = 0 0 + 4b = 27 + 5 4b = 27 + 5 Combine like terms: 27 + 5 = 32 4b = 32 Divide each side by '4'. b = 8 Simplifying b = 8
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