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Simplifying 4(v + 8) + -7x = 2 Reorder the terms: 4(8 + v) + -7x = 2 (8 * 4 + v * 4) + -7x = 2 (32 + 4v) + -7x = 2 Solving 32 + 4v + -7x = 2 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + 4v + -32 + -7x = 2 + -32 Reorder the terms: 32 + -32 + 4v + -7x = 2 + -32 Combine like terms: 32 + -32 = 0 0 + 4v + -7x = 2 + -32 4v + -7x = 2 + -32 Combine like terms: 2 + -32 = -30 4v + -7x = -30 Add '7x' to each side of the equation. 4v + -7x + 7x = -30 + 7x Combine like terms: -7x + 7x = 0 4v + 0 = -30 + 7x 4v = -30 + 7x Divide each side by '4'. v = -7.5 + 1.75x Simplifying v = -7.5 + 1.75x
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