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Simplifying 18(x + 1) + -2v = 4(4x + 1) + -6 Reorder the terms: 18(1 + x) + -2v = 4(4x + 1) + -6 (1 * 18 + x * 18) + -2v = 4(4x + 1) + -6 (18 + 18x) + -2v = 4(4x + 1) + -6 Reorder the terms: 18 + -2v + 18x = 4(4x + 1) + -6 Reorder the terms: 18 + -2v + 18x = 4(1 + 4x) + -6 18 + -2v + 18x = (1 * 4 + 4x * 4) + -6 18 + -2v + 18x = (4 + 16x) + -6 Reorder the terms: 18 + -2v + 18x = 4 + -6 + 16x Combine like terms: 4 + -6 = -2 18 + -2v + 18x = -2 + 16x Solving 18 + -2v + 18x = -2 + 16x Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -2v + -18 + 18x = -2 + -18 + 16x Reorder the terms: 18 + -18 + -2v + 18x = -2 + -18 + 16x Combine like terms: 18 + -18 = 0 0 + -2v + 18x = -2 + -18 + 16x -2v + 18x = -2 + -18 + 16x Combine like terms: -2 + -18 = -20 -2v + 18x = -20 + 16x Add '-18x' to each side of the equation. -2v + 18x + -18x = -20 + 16x + -18x Combine like terms: 18x + -18x = 0 -2v + 0 = -20 + 16x + -18x -2v = -20 + 16x + -18x Combine like terms: 16x + -18x = -2x -2v = -20 + -2x Divide each side by '-2'. v = 10 + x Simplifying v = 10 + x
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