-7(14r+13)=8(-15r-17)+19r

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Solution for -7(14r+13)=8(-15r-17)+19r equation:


Simplifying
-7(14r + 13) = 8(-15r + -17) + 19r

Reorder the terms:
-7(13 + 14r) = 8(-15r + -17) + 19r
(13 * -7 + 14r * -7) = 8(-15r + -17) + 19r
(-91 + -98r) = 8(-15r + -17) + 19r

Reorder the terms:
-91 + -98r = 8(-17 + -15r) + 19r
-91 + -98r = (-17 * 8 + -15r * 8) + 19r
-91 + -98r = (-136 + -120r) + 19r

Combine like terms: -120r + 19r = -101r
-91 + -98r = -136 + -101r

Solving
-91 + -98r = -136 + -101r

Solving for variable 'r'.

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

Add '101r' to each side of the equation.
-91 + -98r + 101r = -136 + -101r + 101r

Combine like terms: -98r + 101r = 3r
-91 + 3r = -136 + -101r + 101r

Combine like terms: -101r + 101r = 0
-91 + 3r = -136 + 0
-91 + 3r = -136

Add '91' to each side of the equation.
-91 + 91 + 3r = -136 + 91

Combine like terms: -91 + 91 = 0
0 + 3r = -136 + 91
3r = -136 + 91

Combine like terms: -136 + 91 = -45
3r = -45

Divide each side by '3'.
r = -15

Simplifying
r = -15

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