8+5(3r-4)=7r-84

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Solution for 8+5(3r-4)=7r-84 equation:


Simplifying
8 + 5(3r + -4) = 7r + -84

Reorder the terms:
8 + 5(-4 + 3r) = 7r + -84
8 + (-4 * 5 + 3r * 5) = 7r + -84
8 + (-20 + 15r) = 7r + -84

Combine like terms: 8 + -20 = -12
-12 + 15r = 7r + -84

Reorder the terms:
-12 + 15r = -84 + 7r

Solving
-12 + 15r = -84 + 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.
-12 + 15r + -7r = -84 + 7r + -7r

Combine like terms: 15r + -7r = 8r
-12 + 8r = -84 + 7r + -7r

Combine like terms: 7r + -7r = 0
-12 + 8r = -84 + 0
-12 + 8r = -84

Add '12' to each side of the equation.
-12 + 12 + 8r = -84 + 12

Combine like terms: -12 + 12 = 0
0 + 8r = -84 + 12
8r = -84 + 12

Combine like terms: -84 + 12 = -72
8r = -72

Divide each side by '8'.
r = -9

Simplifying
r = -9

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