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Simplifying -84 = 6b + -8(7b + -2) Reorder the terms: -84 = 6b + -8(-2 + 7b) -84 = 6b + (-2 * -8 + 7b * -8) -84 = 6b + (16 + -56b) Reorder the terms: -84 = 16 + 6b + -56b Combine like terms: 6b + -56b = -50b -84 = 16 + -50b Solving -84 = 16 + -50b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '50b' to each side of the equation. -84 + 50b = 16 + -50b + 50b Combine like terms: -50b + 50b = 0 -84 + 50b = 16 + 0 -84 + 50b = 16 Add '84' to each side of the equation. -84 + 84 + 50b = 16 + 84 Combine like terms: -84 + 84 = 0 0 + 50b = 16 + 84 50b = 16 + 84 Combine like terms: 16 + 84 = 100 50b = 100 Divide each side by '50'. b = 2 Simplifying b = 2
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