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Simplifying -6[b + -3(2b + -5)] + 7 = 4b + -5 Reorder the terms: -6[b + -3(-5 + 2b)] + 7 = 4b + -5 -6[b + (-5 * -3 + 2b * -3)] + 7 = 4b + -5 -6[b + (15 + -6b)] + 7 = 4b + -5 Reorder the terms: -6[15 + b + -6b] + 7 = 4b + -5 Combine like terms: b + -6b = -5b -6[15 + -5b] + 7 = 4b + -5 [15 * -6 + -5b * -6] + 7 = 4b + -5 [-90 + 30b] + 7 = 4b + -5 Reorder the terms: -90 + 7 + 30b = 4b + -5 Combine like terms: -90 + 7 = -83 -83 + 30b = 4b + -5 Reorder the terms: -83 + 30b = -5 + 4b Solving -83 + 30b = -5 + 4b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-4b' to each side of the equation. -83 + 30b + -4b = -5 + 4b + -4b Combine like terms: 30b + -4b = 26b -83 + 26b = -5 + 4b + -4b Combine like terms: 4b + -4b = 0 -83 + 26b = -5 + 0 -83 + 26b = -5 Add '83' to each side of the equation. -83 + 83 + 26b = -5 + 83 Combine like terms: -83 + 83 = 0 0 + 26b = -5 + 83 26b = -5 + 83 Combine like terms: -5 + 83 = 78 26b = 78 Divide each side by '26'. b = 3 Simplifying b = 3
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