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Simplifying 13x2 + 42b + -78 = -2x2 + -6 Reorder the terms: -78 + 42b + 13x2 = -2x2 + -6 Reorder the terms: -78 + 42b + 13x2 = -6 + -2x2 Solving -78 + 42b + 13x2 = -6 + -2x2 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '78' to each side of the equation. -78 + 42b + 78 + 13x2 = -6 + 78 + -2x2 Reorder the terms: -78 + 78 + 42b + 13x2 = -6 + 78 + -2x2 Combine like terms: -78 + 78 = 0 0 + 42b + 13x2 = -6 + 78 + -2x2 42b + 13x2 = -6 + 78 + -2x2 Combine like terms: -6 + 78 = 72 42b + 13x2 = 72 + -2x2 Add '-13x2' to each side of the equation. 42b + 13x2 + -13x2 = 72 + -2x2 + -13x2 Combine like terms: 13x2 + -13x2 = 0 42b + 0 = 72 + -2x2 + -13x2 42b = 72 + -2x2 + -13x2 Combine like terms: -2x2 + -13x2 = -15x2 42b = 72 + -15x2 Divide each side by '42'. b = 1.714285714 + -0.3571428571x2 Simplifying b = 1.714285714 + -0.3571428571x2
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