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Simplifying 7v + 3(y + 7) = -9 Reorder the terms: 7v + 3(7 + y) = -9 7v + (7 * 3 + y * 3) = -9 7v + (21 + 3y) = -9 Reorder the terms: 21 + 7v + 3y = -9 Solving 21 + 7v + 3y = -9 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + 7v + -21 + 3y = -9 + -21 Reorder the terms: 21 + -21 + 7v + 3y = -9 + -21 Combine like terms: 21 + -21 = 0 0 + 7v + 3y = -9 + -21 7v + 3y = -9 + -21 Combine like terms: -9 + -21 = -30 7v + 3y = -30 Add '-3y' to each side of the equation. 7v + 3y + -3y = -30 + -3y Combine like terms: 3y + -3y = 0 7v + 0 = -30 + -3y 7v = -30 + -3y Divide each side by '7'. v = -4.285714286 + -0.4285714286y Simplifying v = -4.285714286 + -0.4285714286y
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