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Simplifying -6(x + 4) * 3v + 7 = 5v + 10 Reorder the terms: -6(4 + x) * 3v + 7 = 5v + 10 Reorder the terms for easier multiplication: -6 * 3v(4 + x) + 7 = 5v + 10 Multiply -6 * 3 -18v(4 + x) + 7 = 5v + 10 (4 * -18v + x * -18v) + 7 = 5v + 10 (-72v + -18vx) + 7 = 5v + 10 Reorder the terms: 7 + -72v + -18vx = 5v + 10 Reorder the terms: 7 + -72v + -18vx = 10 + 5v Solving 7 + -72v + -18vx = 10 + 5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5v' to each side of the equation. 7 + -72v + -5v + -18vx = 10 + 5v + -5v Combine like terms: -72v + -5v = -77v 7 + -77v + -18vx = 10 + 5v + -5v Combine like terms: 5v + -5v = 0 7 + -77v + -18vx = 10 + 0 7 + -77v + -18vx = 10 Add '-7' to each side of the equation. 7 + -77v + -7 + -18vx = 10 + -7 Reorder the terms: 7 + -7 + -77v + -18vx = 10 + -7 Combine like terms: 7 + -7 = 0 0 + -77v + -18vx = 10 + -7 -77v + -18vx = 10 + -7 Combine like terms: 10 + -7 = 3 -77v + -18vx = 3 Reorder the terms: -3 + -77v + -18vx = 3 + -3 Combine like terms: 3 + -3 = 0 -3 + -77v + -18vx = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(3 + 77v + 18vx) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(3 + 77v + 18vx)' equal to zero and attempt to solve: Simplifying 3 + 77v + 18vx = 0 Solving 3 + 77v + 18vx = 0 Move all terms containing v to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + 77v + -3 + 18vx = 0 + -3 Reorder the terms: 3 + -3 + 77v + 18vx = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 77v + 18vx = 0 + -3 77v + 18vx = 0 + -3 Combine like terms: 0 + -3 = -3 77v + 18vx = -3 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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