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Simplifying 3(b + -2) + 5 = 7 + 3(2b + -5) + -38 Reorder the terms: 3(-2 + b) + 5 = 7 + 3(2b + -5) + -38 (-2 * 3 + b * 3) + 5 = 7 + 3(2b + -5) + -38 (-6 + 3b) + 5 = 7 + 3(2b + -5) + -38 Reorder the terms: -6 + 5 + 3b = 7 + 3(2b + -5) + -38 Combine like terms: -6 + 5 = -1 -1 + 3b = 7 + 3(2b + -5) + -38 Reorder the terms: -1 + 3b = 7 + 3(-5 + 2b) + -38 -1 + 3b = 7 + (-5 * 3 + 2b * 3) + -38 -1 + 3b = 7 + (-15 + 6b) + -38 Reorder the terms: -1 + 3b = 7 + -15 + -38 + 6b Combine like terms: 7 + -15 = -8 -1 + 3b = -8 + -38 + 6b Combine like terms: -8 + -38 = -46 -1 + 3b = -46 + 6b Solving -1 + 3b = -46 + 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. -1 + 3b + -6b = -46 + 6b + -6b Combine like terms: 3b + -6b = -3b -1 + -3b = -46 + 6b + -6b Combine like terms: 6b + -6b = 0 -1 + -3b = -46 + 0 -1 + -3b = -46 Add '1' to each side of the equation. -1 + 1 + -3b = -46 + 1 Combine like terms: -1 + 1 = 0 0 + -3b = -46 + 1 -3b = -46 + 1 Combine like terms: -46 + 1 = -45 -3b = -45 Divide each side by '-3'. b = 15 Simplifying b = 15
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