2(-7r+3)=-4(6+8r)-6r

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Solution for 2(-7r+3)=-4(6+8r)-6r equation:


Simplifying
2(-7r + 3) = -4(6 + 8r) + -6r

Reorder the terms:
2(3 + -7r) = -4(6 + 8r) + -6r
(3 * 2 + -7r * 2) = -4(6 + 8r) + -6r
(6 + -14r) = -4(6 + 8r) + -6r
6 + -14r = (6 * -4 + 8r * -4) + -6r
6 + -14r = (-24 + -32r) + -6r

Combine like terms: -32r + -6r = -38r
6 + -14r = -24 + -38r

Solving
6 + -14r = -24 + -38r

Solving for variable 'r'.

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

Add '38r' to each side of the equation.
6 + -14r + 38r = -24 + -38r + 38r

Combine like terms: -14r + 38r = 24r
6 + 24r = -24 + -38r + 38r

Combine like terms: -38r + 38r = 0
6 + 24r = -24 + 0
6 + 24r = -24

Add '-6' to each side of the equation.
6 + -6 + 24r = -24 + -6

Combine like terms: 6 + -6 = 0
0 + 24r = -24 + -6
24r = -24 + -6

Combine like terms: -24 + -6 = -30
24r = -30

Divide each side by '24'.
r = -1.25

Simplifying
r = -1.25

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