4(9+15q)=3(18q+16)

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Solution for 4(9+15q)=3(18q+16) equation: 


Simplifying
4(9 + 15q) = 3(18q + 16)
(9 * 4 + 15q * 4) = 3(18q + 16)
(36 + 60q) = 3(18q + 16)

Reorder the terms:
36 + 60q = 3(16 + 18q)
36 + 60q = (16 * 3 + 18q * 3)
36 + 60q = (48 + 54q)

Solving
36 + 60q = 48 + 54q

Solving for variable 'q'.

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

Add '-54q' to each side of the equation.
36 + 60q + -54q = 48 + 54q + -54q

Combine like terms: 60q + -54q = 6q
36 + 6q = 48 + 54q + -54q

Combine like terms: 54q + -54q = 0
36 + 6q = 48 + 0
36 + 6q = 48

Add '-36' to each side of the equation.
36 + -36 + 6q = 48 + -36

Combine like terms: 36 + -36 = 0
0 + 6q = 48 + -36
6q = 48 + -36

Combine like terms: 48 + -36 = 12
6q = 12

Divide each side by '6'.
q = 2

Simplifying
q = 2

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