54=6(3-4r)-4(r-r)

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Solution for 54=6(3-4r)-4(r-r) equation: 


Simplifying
54 = 6(3 + -4r) + -4(r + -1r)
54 = (3 * 6 + -4r * 6) + -4(r + -1r)
54 = (18 + -24r) + -4(r + -1r)

Combine like terms: r + -1r = 0
54 = 18 + -24r + -4(0)

Multiply -4 * 0
54 = 18 + -24r + 0

Anything times zero is zero.
54 = 18 + -24r + 0

Reorder the terms:
54 = 18 + 0 + -24r

Combine like terms: 18 + 0 = 18
54 = 18 + -24r

Solving
54 = 18 + -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.
54 + 24r = 18 + -24r + 24r

Combine like terms: -24r + 24r = 0
54 + 24r = 18 + 0
54 + 24r = 18

Add '-54' to each side of the equation.
54 + -54 + 24r = 18 + -54

Combine like terms: 54 + -54 = 0
0 + 24r = 18 + -54
24r = 18 + -54

Combine like terms: 18 + -54 = -36
24r = -36

Divide each side by '24'.
r = -1.5

Simplifying
r = -1.5

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