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Simplifying 3b + 8 + -1b = 3(b + -4) + 5 Reorder the terms: 8 + 3b + -1b = 3(b + -4) + 5 Combine like terms: 3b + -1b = 2b 8 + 2b = 3(b + -4) + 5 Reorder the terms: 8 + 2b = 3(-4 + b) + 5 8 + 2b = (-4 * 3 + b * 3) + 5 8 + 2b = (-12 + 3b) + 5 Reorder the terms: 8 + 2b = -12 + 5 + 3b Combine like terms: -12 + 5 = -7 8 + 2b = -7 + 3b Solving 8 + 2b = -7 + 3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-3b' to each side of the equation. 8 + 2b + -3b = -7 + 3b + -3b Combine like terms: 2b + -3b = -1b 8 + -1b = -7 + 3b + -3b Combine like terms: 3b + -3b = 0 8 + -1b = -7 + 0 8 + -1b = -7 Add '-8' to each side of the equation. 8 + -8 + -1b = -7 + -8 Combine like terms: 8 + -8 = 0 0 + -1b = -7 + -8 -1b = -7 + -8 Combine like terms: -7 + -8 = -15 -1b = -15 Divide each side by '-1'. b = 15 Simplifying b = 15
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