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Simplifying 12(v + 1) + -4v = 4(2x + 1) + -5 Reorder the terms: 12(1 + v) + -4v = 4(2x + 1) + -5 (1 * 12 + v * 12) + -4v = 4(2x + 1) + -5 (12 + 12v) + -4v = 4(2x + 1) + -5 Combine like terms: 12v + -4v = 8v 12 + 8v = 4(2x + 1) + -5 Reorder the terms: 12 + 8v = 4(1 + 2x) + -5 12 + 8v = (1 * 4 + 2x * 4) + -5 12 + 8v = (4 + 8x) + -5 Reorder the terms: 12 + 8v = 4 + -5 + 8x Combine like terms: 4 + -5 = -1 12 + 8v = -1 + 8x Solving 12 + 8v = -1 + 8x Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 8v = -1 + -12 + 8x Combine like terms: 12 + -12 = 0 0 + 8v = -1 + -12 + 8x 8v = -1 + -12 + 8x Combine like terms: -1 + -12 = -13 8v = -13 + 8x Divide each side by '8'. v = -1.625 + x Simplifying v = -1.625 + x
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