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Simplifying 10(v + 1) + -3v = 4(3v + 1) + -21 Reorder the terms: 10(1 + v) + -3v = 4(3v + 1) + -21 (1 * 10 + v * 10) + -3v = 4(3v + 1) + -21 (10 + 10v) + -3v = 4(3v + 1) + -21 Combine like terms: 10v + -3v = 7v 10 + 7v = 4(3v + 1) + -21 Reorder the terms: 10 + 7v = 4(1 + 3v) + -21 10 + 7v = (1 * 4 + 3v * 4) + -21 10 + 7v = (4 + 12v) + -21 Reorder the terms: 10 + 7v = 4 + -21 + 12v Combine like terms: 4 + -21 = -17 10 + 7v = -17 + 12v Solving 10 + 7v = -17 + 12v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-12v' to each side of the equation. 10 + 7v + -12v = -17 + 12v + -12v Combine like terms: 7v + -12v = -5v 10 + -5v = -17 + 12v + -12v Combine like terms: 12v + -12v = 0 10 + -5v = -17 + 0 10 + -5v = -17 Add '-10' to each side of the equation. 10 + -10 + -5v = -17 + -10 Combine like terms: 10 + -10 = 0 0 + -5v = -17 + -10 -5v = -17 + -10 Combine like terms: -17 + -10 = -27 -5v = -27 Divide each side by '-5'. v = 5.4 Simplifying v = 5.4
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