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Simplifying -3(5 + 7b) + -4 = -10 + 6(b + 12) (5 * -3 + 7b * -3) + -4 = -10 + 6(b + 12) (-15 + -21b) + -4 = -10 + 6(b + 12) Reorder the terms: -15 + -4 + -21b = -10 + 6(b + 12) Combine like terms: -15 + -4 = -19 -19 + -21b = -10 + 6(b + 12) Reorder the terms: -19 + -21b = -10 + 6(12 + b) -19 + -21b = -10 + (12 * 6 + b * 6) -19 + -21b = -10 + (72 + 6b) Combine like terms: -10 + 72 = 62 -19 + -21b = 62 + 6b Solving -19 + -21b = 62 + 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. -19 + -21b + -6b = 62 + 6b + -6b Combine like terms: -21b + -6b = -27b -19 + -27b = 62 + 6b + -6b Combine like terms: 6b + -6b = 0 -19 + -27b = 62 + 0 -19 + -27b = 62 Add '19' to each side of the equation. -19 + 19 + -27b = 62 + 19 Combine like terms: -19 + 19 = 0 0 + -27b = 62 + 19 -27b = 62 + 19 Combine like terms: 62 + 19 = 81 -27b = 81 Divide each side by '-27'. b = -3 Simplifying b = -3
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