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Simplifying 8(x + 7) + -2v = 5x + -1(3x + -4) Reorder the terms: 8(7 + x) + -2v = 5x + -1(3x + -4) (7 * 8 + x * 8) + -2v = 5x + -1(3x + -4) (56 + 8x) + -2v = 5x + -1(3x + -4) Reorder the terms: 56 + -2v + 8x = 5x + -1(3x + -4) Reorder the terms: 56 + -2v + 8x = 5x + -1(-4 + 3x) 56 + -2v + 8x = 5x + (-4 * -1 + 3x * -1) 56 + -2v + 8x = 5x + (4 + -3x) Reorder the terms: 56 + -2v + 8x = 4 + 5x + -3x Combine like terms: 5x + -3x = 2x 56 + -2v + 8x = 4 + 2x Solving 56 + -2v + 8x = 4 + 2x Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-56' to each side of the equation. 56 + -2v + -56 + 8x = 4 + -56 + 2x Reorder the terms: 56 + -56 + -2v + 8x = 4 + -56 + 2x Combine like terms: 56 + -56 = 0 0 + -2v + 8x = 4 + -56 + 2x -2v + 8x = 4 + -56 + 2x Combine like terms: 4 + -56 = -52 -2v + 8x = -52 + 2x Add '-8x' to each side of the equation. -2v + 8x + -8x = -52 + 2x + -8x Combine like terms: 8x + -8x = 0 -2v + 0 = -52 + 2x + -8x -2v = -52 + 2x + -8x Combine like terms: 2x + -8x = -6x -2v = -52 + -6x Divide each side by '-2'. v = 26 + 3x Simplifying v = 26 + 3x
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