2-3(R-7)-7R=4(R-2)8

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Solution for 2-3(R-7)-7R=4(R-2)8 equation:


Simplifying
2 + -3(R + -7) + -7R = 4(R + -2) * 8

Reorder the terms:
2 + -3(-7 + R) + -7R = 4(R + -2) * 8
2 + (-7 * -3 + R * -3) + -7R = 4(R + -2) * 8
2 + (21 + -3R) + -7R = 4(R + -2) * 8

Combine like terms: 2 + 21 = 23
23 + -3R + -7R = 4(R + -2) * 8

Combine like terms: -3R + -7R = -10R
23 + -10R = 4(R + -2) * 8

Reorder the terms:
23 + -10R = 4(-2 + R) * 8

Reorder the terms for easier multiplication:
23 + -10R = 4 * 8(-2 + R)

Multiply 4 * 8
23 + -10R = 32(-2 + R)
23 + -10R = (-2 * 32 + R * 32)
23 + -10R = (-64 + 32R)

Solving
23 + -10R = -64 + 32R

Solving for variable 'R'.

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

Add '-32R' to each side of the equation.
23 + -10R + -32R = -64 + 32R + -32R

Combine like terms: -10R + -32R = -42R
23 + -42R = -64 + 32R + -32R

Combine like terms: 32R + -32R = 0
23 + -42R = -64 + 0
23 + -42R = -64

Add '-23' to each side of the equation.
23 + -23 + -42R = -64 + -23

Combine like terms: 23 + -23 = 0
0 + -42R = -64 + -23
-42R = -64 + -23

Combine like terms: -64 + -23 = -87
-42R = -87

Divide each side by '-42'.
R = 2.071428571

Simplifying
R = 2.071428571

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