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Simplifying 5(x + -2b) + -8 = 6b + -3x Reorder the terms: 5(-2b + x) + -8 = 6b + -3x (-2b * 5 + x * 5) + -8 = 6b + -3x (-10b + 5x) + -8 = 6b + -3x Reorder the terms: -8 + -10b + 5x = 6b + -3x Solving -8 + -10b + 5x = 6b + -3x Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-6b' to each side of the equation. -8 + -10b + -6b + 5x = 6b + -6b + -3x Combine like terms: -10b + -6b = -16b -8 + -16b + 5x = 6b + -6b + -3x Combine like terms: 6b + -6b = 0 -8 + -16b + 5x = 0 + -3x -8 + -16b + 5x = -3x Add '8' to each side of the equation. -8 + -16b + 8 + 5x = 8 + -3x Reorder the terms: -8 + 8 + -16b + 5x = 8 + -3x Combine like terms: -8 + 8 = 0 0 + -16b + 5x = 8 + -3x -16b + 5x = 8 + -3x Add '-5x' to each side of the equation. -16b + 5x + -5x = 8 + -3x + -5x Combine like terms: 5x + -5x = 0 -16b + 0 = 8 + -3x + -5x -16b = 8 + -3x + -5x Combine like terms: -3x + -5x = -8x -16b = 8 + -8x Divide each side by '-16'. b = -0.5 + 0.5x Simplifying b = -0.5 + 0.5x
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