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Simplifying -6(8 + 7b) + -4(v + 4) = -64 (8 * -6 + 7b * -6) + -4(v + 4) = -64 (-48 + -42b) + -4(v + 4) = -64 Reorder the terms: -48 + -42b + -4(4 + v) = -64 -48 + -42b + (4 * -4 + v * -4) = -64 -48 + -42b + (-16 + -4v) = -64 Reorder the terms: -48 + -16 + -42b + -4v = -64 Combine like terms: -48 + -16 = -64 -64 + -42b + -4v = -64 Add '64' to each side of the equation. -64 + -42b + 64 + -4v = -64 + 64 Reorder the terms: -64 + 64 + -42b + -4v = -64 + 64 Combine like terms: -64 + 64 = 0 0 + -42b + -4v = -64 + 64 -42b + -4v = -64 + 64 Combine like terms: -64 + 64 = 0 -42b + -4v = 0 Solving -42b + -4v = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '4v' to each side of the equation. -42b + -4v + 4v = 0 + 4v Combine like terms: -4v + 4v = 0 -42b + 0 = 0 + 4v -42b = 0 + 4v Remove the zero: -42b = 4v Divide each side by '-42'. b = -0.09523809524v Simplifying b = -0.09523809524v
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