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Simplifying -7(6 + 12b) + 7(-2b + 6) = 11x + -8x (6 * -7 + 12b * -7) + 7(-2b + 6) = 11x + -8x (-42 + -84b) + 7(-2b + 6) = 11x + -8x Reorder the terms: -42 + -84b + 7(6 + -2b) = 11x + -8x -42 + -84b + (6 * 7 + -2b * 7) = 11x + -8x -42 + -84b + (42 + -14b) = 11x + -8x Reorder the terms: -42 + 42 + -84b + -14b = 11x + -8x Combine like terms: -42 + 42 = 0 0 + -84b + -14b = 11x + -8x -84b + -14b = 11x + -8x Combine like terms: -84b + -14b = -98b -98b = 11x + -8x Combine like terms: 11x + -8x = 3x -98b = 3x Solving -98b = 3x Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Divide each side by '-98'. b = -0.0306122449x Simplifying b = -0.0306122449x
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