6(9r+4)=-3(8r+28)

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Solution for 6(9r+4)=-3(8r+28) equation:


Simplifying
6(9r + 4) = -3(8r + 28)

Reorder the terms:
6(4 + 9r) = -3(8r + 28)
(4 * 6 + 9r * 6) = -3(8r + 28)
(24 + 54r) = -3(8r + 28)

Reorder the terms:
24 + 54r = -3(28 + 8r)
24 + 54r = (28 * -3 + 8r * -3)
24 + 54r = (-84 + -24r)

Solving
24 + 54r = -84 + -24r

Solving for variable 'r'.

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

Add '24r' to each side of the equation.
24 + 54r + 24r = -84 + -24r + 24r

Combine like terms: 54r + 24r = 78r
24 + 78r = -84 + -24r + 24r

Combine like terms: -24r + 24r = 0
24 + 78r = -84 + 0
24 + 78r = -84

Add '-24' to each side of the equation.
24 + -24 + 78r = -84 + -24

Combine like terms: 24 + -24 = 0
0 + 78r = -84 + -24
78r = -84 + -24

Combine like terms: -84 + -24 = -108
78r = -108

Divide each side by '78'.
r = -1.384615385

Simplifying
r = -1.384615385

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