3(2v+1)=-15(rv+16)

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Solution for 3(2v+1)=-15(rv+16) equation:


Simplifying
3(2v + 1) = -15(rv + 16)

Reorder the terms:
3(1 + 2v) = -15(rv + 16)
(1 * 3 + 2v * 3) = -15(rv + 16)
(3 + 6v) = -15(rv + 16)

Reorder the terms:
3 + 6v = -15(16 + rv)
3 + 6v = (16 * -15 + rv * -15)
3 + 6v = (-240 + -15rv)

Solving
3 + 6v = -240 + -15rv

Solving for variable 'v'.

Move all terms containing v to the left, all other terms to the right.

Add '15rv' to each side of the equation.
3 + 15rv + 6v = -240 + -15rv + 15rv

Combine like terms: -15rv + 15rv = 0
3 + 15rv + 6v = -240 + 0
3 + 15rv + 6v = -240

Add '-3' to each side of the equation.
3 + 15rv + -3 + 6v = -240 + -3

Reorder the terms:
3 + -3 + 15rv + 6v = -240 + -3

Combine like terms: 3 + -3 = 0
0 + 15rv + 6v = -240 + -3
15rv + 6v = -240 + -3

Combine like terms: -240 + -3 = -243
15rv + 6v = -243

Reorder the terms:
243 + 15rv + 6v = -243 + 243

Combine like terms: -243 + 243 = 0
243 + 15rv + 6v = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(81 + 5rv + 2v) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(81 + 5rv + 2v)' equal to zero and attempt to solve: Simplifying 81 + 5rv + 2v = 0 Solving 81 + 5rv + 2v = 0 Move all terms containing v to the left, all other terms to the right. Add '-81' to each side of the equation. 81 + 5rv + -81 + 2v = 0 + -81 Reorder the terms: 81 + -81 + 5rv + 2v = 0 + -81 Combine like terms: 81 + -81 = 0 0 + 5rv + 2v = 0 + -81 5rv + 2v = 0 + -81 Combine like terms: 0 + -81 = -81 5rv + 2v = -81 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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