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Simplifying -7(-4 + v) + -3(7v + 7) = 63 (-4 * -7 + v * -7) + -3(7v + 7) = 63 (28 + -7v) + -3(7v + 7) = 63 Reorder the terms: 28 + -7v + -3(7 + 7v) = 63 28 + -7v + (7 * -3 + 7v * -3) = 63 28 + -7v + (-21 + -21v) = 63 Reorder the terms: 28 + -21 + -7v + -21v = 63 Combine like terms: 28 + -21 = 7 7 + -7v + -21v = 63 Combine like terms: -7v + -21v = -28v 7 + -28v = 63 Solving 7 + -28v = 63 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -28v = 63 + -7 Combine like terms: 7 + -7 = 0 0 + -28v = 63 + -7 -28v = 63 + -7 Combine like terms: 63 + -7 = 56 -28v = 56 Divide each side by '-28'. v = -2 Simplifying v = -2
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