(-q+68)+(q+16)=2(-q+76)

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Solution for (-q+68)+(q+16)=2(-q+76) equation:


Simplifying
(-1q + 68) + (q + 16) = 2(-1q + 76)

Reorder the terms:
(68 + -1q) + (q + 16) = 2(-1q + 76)

Remove parenthesis around (68 + -1q)
68 + -1q + (q + 16) = 2(-1q + 76)

Reorder the terms:
68 + -1q + (16 + q) = 2(-1q + 76)

Remove parenthesis around (16 + q)
68 + -1q + 16 + q = 2(-1q + 76)

Reorder the terms:
68 + 16 + -1q + q = 2(-1q + 76)

Combine like terms: 68 + 16 = 84
84 + -1q + q = 2(-1q + 76)

Combine like terms: -1q + q = 0
84 + 0 = 2(-1q + 76)
84 = 2(-1q + 76)

Reorder the terms:
84 = 2(76 + -1q)
84 = (76 * 2 + -1q * 2)
84 = (152 + -2q)

Solving
84 = 152 + -2q

Solving for variable 'q'.

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

Add '2q' to each side of the equation.
84 + 2q = 152 + -2q + 2q

Combine like terms: -2q + 2q = 0
84 + 2q = 152 + 0
84 + 2q = 152

Add '-84' to each side of the equation.
84 + -84 + 2q = 152 + -84

Combine like terms: 84 + -84 = 0
0 + 2q = 152 + -84
2q = 152 + -84

Combine like terms: 152 + -84 = 68
2q = 68

Divide each side by '2'.
q = 34

Simplifying
q = 34

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