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Simplifying 4x(b + -2) + -10 = 2(b + 3) Reorder the terms: 4x(-2 + b) + -10 = 2(b + 3) (-2 * 4x + b * 4x) + -10 = 2(b + 3) Reorder the terms: (4bx + -8x) + -10 = 2(b + 3) (4bx + -8x) + -10 = 2(b + 3) Reorder the terms: -10 + 4bx + -8x = 2(b + 3) Reorder the terms: -10 + 4bx + -8x = 2(3 + b) -10 + 4bx + -8x = (3 * 2 + b * 2) -10 + 4bx + -8x = (6 + 2b) Solving -10 + 4bx + -8x = 6 + 2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-2b' to each side of the equation. -10 + 4bx + -2b + -8x = 6 + 2b + -2b Reorder the terms: -10 + -2b + 4bx + -8x = 6 + 2b + -2b Combine like terms: 2b + -2b = 0 -10 + -2b + 4bx + -8x = 6 + 0 -10 + -2b + 4bx + -8x = 6 Add '10' to each side of the equation. -10 + -2b + 4bx + 10 + -8x = 6 + 10 Reorder the terms: -10 + 10 + -2b + 4bx + -8x = 6 + 10 Combine like terms: -10 + 10 = 0 0 + -2b + 4bx + -8x = 6 + 10 -2b + 4bx + -8x = 6 + 10 Combine like terms: 6 + 10 = 16 -2b + 4bx + -8x = 16 Add '8x' to each side of the equation. -2b + 4bx + -8x + 8x = 16 + 8x Combine like terms: -8x + 8x = 0 -2b + 4bx + 0 = 16 + 8x -2b + 4bx = 16 + 8x Reorder the terms: -16 + -2b + 4bx + -8x = 16 + 8x + -16 + -8x Reorder the terms: -16 + -2b + 4bx + -8x = 16 + -16 + 8x + -8x Combine like terms: 16 + -16 = 0 -16 + -2b + 4bx + -8x = 0 + 8x + -8x -16 + -2b + 4bx + -8x = 8x + -8x Combine like terms: 8x + -8x = 0 -16 + -2b + 4bx + -8x = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-8 + -1b + 2bx + -4x) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-8 + -1b + 2bx + -4x)' equal to zero and attempt to solve: Simplifying -8 + -1b + 2bx + -4x = 0 Solving -8 + -1b + 2bx + -4x = 0 Move all terms containing b to the left, all other terms to the right. Add '8' to each side of the equation. -8 + -1b + 2bx + 8 + -4x = 0 + 8 Reorder the terms: -8 + 8 + -1b + 2bx + -4x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1b + 2bx + -4x = 0 + 8 -1b + 2bx + -4x = 0 + 8 Combine like terms: 0 + 8 = 8 -1b + 2bx + -4x = 8 Add '4x' to each side of the equation. -1b + 2bx + -4x + 4x = 8 + 4x Combine like terms: -4x + 4x = 0 -1b + 2bx + 0 = 8 + 4x -1b + 2bx = 8 + 4x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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