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Simplifying (2x + 5) + -1(8x + 6) + 3(b + -2) = 0 Reorder the terms: (5 + 2x) + -1(8x + 6) + 3(b + -2) = 0 Remove parenthesis around (5 + 2x) 5 + 2x + -1(8x + 6) + 3(b + -2) = 0 Reorder the terms: 5 + 2x + -1(6 + 8x) + 3(b + -2) = 0 5 + 2x + (6 * -1 + 8x * -1) + 3(b + -2) = 0 5 + 2x + (-6 + -8x) + 3(b + -2) = 0 Reorder the terms: 5 + 2x + -6 + -8x + 3(-2 + b) = 0 5 + 2x + -6 + -8x + (-2 * 3 + b * 3) = 0 5 + 2x + -6 + -8x + (-6 + 3b) = 0 Reorder the terms: 5 + -6 + -6 + 3b + 2x + -8x = 0 Combine like terms: 5 + -6 = -1 -1 + -6 + 3b + 2x + -8x = 0 Combine like terms: -1 + -6 = -7 -7 + 3b + 2x + -8x = 0 Combine like terms: 2x + -8x = -6x -7 + 3b + -6x = 0 Solving -7 + 3b + -6x = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 3b + 7 + -6x = 0 + 7 Reorder the terms: -7 + 7 + 3b + -6x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 3b + -6x = 0 + 7 3b + -6x = 0 + 7 Combine like terms: 0 + 7 = 7 3b + -6x = 7 Add '6x' to each side of the equation. 3b + -6x + 6x = 7 + 6x Combine like terms: -6x + 6x = 0 3b + 0 = 7 + 6x 3b = 7 + 6x Divide each side by '3'. b = 2.333333333 + 2x Simplifying b = 2.333333333 + 2x
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