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Simplifying -64 = -4[-4v + 1] + -3[v + 7] Reorder the terms: -64 = -4[1 + -4v] + -3[v + 7] -64 = [1 * -4 + -4v * -4] + -3[v + 7] -64 = [-4 + 16v] + -3[v + 7] Reorder the terms: -64 = -4 + 16v + -3[7 + v] -64 = -4 + 16v + [7 * -3 + v * -3] -64 = -4 + 16v + [-21 + -3v] Reorder the terms: -64 = -4 + -21 + 16v + -3v Combine like terms: -4 + -21 = -25 -64 = -25 + 16v + -3v Combine like terms: 16v + -3v = 13v -64 = -25 + 13v Solving -64 = -25 + 13v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-13v' to each side of the equation. -64 + -13v = -25 + 13v + -13v Combine like terms: 13v + -13v = 0 -64 + -13v = -25 + 0 -64 + -13v = -25 Add '64' to each side of the equation. -64 + 64 + -13v = -25 + 64 Combine like terms: -64 + 64 = 0 0 + -13v = -25 + 64 -13v = -25 + 64 Combine like terms: -25 + 64 = 39 -13v = 39 Divide each side by '-13'. v = -3 Simplifying v = -3
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