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Simplifying 10(x + 3) + -4v = 2(3v + 2) + -6 Reorder the terms: 10(3 + x) + -4v = 2(3v + 2) + -6 (3 * 10 + x * 10) + -4v = 2(3v + 2) + -6 (30 + 10x) + -4v = 2(3v + 2) + -6 Reorder the terms: 30 + -4v + 10x = 2(3v + 2) + -6 Reorder the terms: 30 + -4v + 10x = 2(2 + 3v) + -6 30 + -4v + 10x = (2 * 2 + 3v * 2) + -6 30 + -4v + 10x = (4 + 6v) + -6 Reorder the terms: 30 + -4v + 10x = 4 + -6 + 6v Combine like terms: 4 + -6 = -2 30 + -4v + 10x = -2 + 6v Solving 30 + -4v + 10x = -2 + 6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6v' to each side of the equation. 30 + -4v + -6v + 10x = -2 + 6v + -6v Combine like terms: -4v + -6v = -10v 30 + -10v + 10x = -2 + 6v + -6v Combine like terms: 6v + -6v = 0 30 + -10v + 10x = -2 + 0 30 + -10v + 10x = -2 Add '-30' to each side of the equation. 30 + -10v + -30 + 10x = -2 + -30 Reorder the terms: 30 + -30 + -10v + 10x = -2 + -30 Combine like terms: 30 + -30 = 0 0 + -10v + 10x = -2 + -30 -10v + 10x = -2 + -30 Combine like terms: -2 + -30 = -32 -10v + 10x = -32 Add '-10x' to each side of the equation. -10v + 10x + -10x = -32 + -10x Combine like terms: 10x + -10x = 0 -10v + 0 = -32 + -10x -10v = -32 + -10x Divide each side by '-10'. v = 3.2 + x Simplifying v = 3.2 + x
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