R-4+7=-5(7r-4)+7(7+6r)

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Solution for R-4+7=-5(7r-4)+7(7+6r) equation:


Simplifying
R + -4 + 7 = -5(7r + -4) + 7(7 + 6r)

Reorder the terms:
-4 + 7 + R = -5(7r + -4) + 7(7 + 6r)

Combine like terms: -4 + 7 = 3
3 + R = -5(7r + -4) + 7(7 + 6r)

Reorder the terms:
3 + R = -5(-4 + 7r) + 7(7 + 6r)
3 + R = (-4 * -5 + 7r * -5) + 7(7 + 6r)
3 + R = (20 + -35r) + 7(7 + 6r)
3 + R = 20 + -35r + (7 * 7 + 6r * 7)
3 + R = 20 + -35r + (49 + 42r)

Reorder the terms:
3 + R = 20 + 49 + -35r + 42r

Combine like terms: 20 + 49 = 69
3 + R = 69 + -35r + 42r

Combine like terms: -35r + 42r = 7r
3 + R = 69 + 7r

Solving
3 + R = 69 + 7r

Solving for variable 'R'.

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

Add '-3' to each side of the equation.
3 + -3 + R = 69 + -3 + 7r

Combine like terms: 3 + -3 = 0
0 + R = 69 + -3 + 7r
R = 69 + -3 + 7r

Combine like terms: 69 + -3 = 66
R = 66 + 7r

Simplifying
R = 66 + 7r

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