-2(3r-3)+4=10+7r

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Solution for -2(3r-3)+4=10+7r equation:


Simplifying
-2(3r + -3) + 4 = 10 + 7r

Reorder the terms:
-2(-3 + 3r) + 4 = 10 + 7r
(-3 * -2 + 3r * -2) + 4 = 10 + 7r
(6 + -6r) + 4 = 10 + 7r

Reorder the terms:
6 + 4 + -6r = 10 + 7r

Combine like terms: 6 + 4 = 10
10 + -6r = 10 + 7r

Add '-10' to each side of the equation.
10 + -10 + -6r = 10 + -10 + 7r

Combine like terms: 10 + -10 = 0
0 + -6r = 10 + -10 + 7r
-6r = 10 + -10 + 7r

Combine like terms: 10 + -10 = 0
-6r = 0 + 7r
-6r = 7r

Solving
-6r = 7r

Solving for variable 'r'.

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

Add '-7r' to each side of the equation.
-6r + -7r = 7r + -7r

Combine like terms: -6r + -7r = -13r
-13r = 7r + -7r

Combine like terms: 7r + -7r = 0
-13r = 0

Divide each side by '-13'.
r = 0

Simplifying
r = 0

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