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Simplifying 12(b + -7) = 8(b + -6) Reorder the terms: 12(-7 + b) = 8(b + -6) (-7 * 12 + b * 12) = 8(b + -6) (-84 + 12b) = 8(b + -6) Reorder the terms: -84 + 12b = 8(-6 + b) -84 + 12b = (-6 * 8 + b * 8) -84 + 12b = (-48 + 8b) Solving -84 + 12b = -48 + 8b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-8b' to each side of the equation. -84 + 12b + -8b = -48 + 8b + -8b Combine like terms: 12b + -8b = 4b -84 + 4b = -48 + 8b + -8b Combine like terms: 8b + -8b = 0 -84 + 4b = -48 + 0 -84 + 4b = -48 Add '84' to each side of the equation. -84 + 84 + 4b = -48 + 84 Combine like terms: -84 + 84 = 0 0 + 4b = -48 + 84 4b = -48 + 84 Combine like terms: -48 + 84 = 36 4b = 36 Divide each side by '4'. b = 9 Simplifying b = 9
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