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Simplifying 4(x + 2) + -3(v + -1) = 13 Reorder the terms: 4(2 + x) + -3(v + -1) = 13 (2 * 4 + x * 4) + -3(v + -1) = 13 (8 + 4x) + -3(v + -1) = 13 Reorder the terms: 8 + 4x + -3(-1 + v) = 13 8 + 4x + (-1 * -3 + v * -3) = 13 8 + 4x + (3 + -3v) = 13 Reorder the terms: 8 + 3 + -3v + 4x = 13 Combine like terms: 8 + 3 = 11 11 + -3v + 4x = 13 Solving 11 + -3v + 4x = 13 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -3v + -11 + 4x = 13 + -11 Reorder the terms: 11 + -11 + -3v + 4x = 13 + -11 Combine like terms: 11 + -11 = 0 0 + -3v + 4x = 13 + -11 -3v + 4x = 13 + -11 Combine like terms: 13 + -11 = 2 -3v + 4x = 2 Add '-4x' to each side of the equation. -3v + 4x + -4x = 2 + -4x Combine like terms: 4x + -4x = 0 -3v + 0 = 2 + -4x -3v = 2 + -4x Divide each side by '-3'. v = -0.6666666667 + 1.333333333x Simplifying v = -0.6666666667 + 1.333333333x
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