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Simplifying -8x + 2(4b + -7) = 7(x + 6) Reorder the terms: -8x + 2(-7 + 4b) = 7(x + 6) -8x + (-7 * 2 + 4b * 2) = 7(x + 6) -8x + (-14 + 8b) = 7(x + 6) Reorder the terms: -14 + 8b + -8x = 7(x + 6) Reorder the terms: -14 + 8b + -8x = 7(6 + x) -14 + 8b + -8x = (6 * 7 + x * 7) -14 + 8b + -8x = (42 + 7x) Solving -14 + 8b + -8x = 42 + 7x Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 8b + 14 + -8x = 42 + 14 + 7x Reorder the terms: -14 + 14 + 8b + -8x = 42 + 14 + 7x Combine like terms: -14 + 14 = 0 0 + 8b + -8x = 42 + 14 + 7x 8b + -8x = 42 + 14 + 7x Combine like terms: 42 + 14 = 56 8b + -8x = 56 + 7x Add '8x' to each side of the equation. 8b + -8x + 8x = 56 + 7x + 8x Combine like terms: -8x + 8x = 0 8b + 0 = 56 + 7x + 8x 8b = 56 + 7x + 8x Combine like terms: 7x + 8x = 15x 8b = 56 + 15x Divide each side by '8'. b = 7 + 1.875x Simplifying b = 7 + 1.875x
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