12-3(2w+1)=7a-3(7+w)

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Solution for 12-3(2w+1)=7a-3(7+w) equation: 


Simplifying
12 + -3(2w + 1) = 7a + -3(7 + w)

Reorder the terms:
12 + -3(1 + 2w) = 7a + -3(7 + w)
12 + (1 * -3 + 2w * -3) = 7a + -3(7 + w)
12 + (-3 + -6w) = 7a + -3(7 + w)

Combine like terms: 12 + -3 = 9
9 + -6w = 7a + -3(7 + w)
9 + -6w = 7a + (7 * -3 + w * -3)
9 + -6w = 7a + (-21 + -3w)

Reorder the terms:
9 + -6w = -21 + 7a + -3w

Solving
9 + -6w = -21 + 7a + -3w

Solving for variable 'w'.

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

Add '3w' to each side of the equation.
9 + -6w + 3w = -21 + 7a + -3w + 3w

Combine like terms: -6w + 3w = -3w
9 + -3w = -21 + 7a + -3w + 3w

Combine like terms: -3w + 3w = 0
9 + -3w = -21 + 7a + 0
9 + -3w = -21 + 7a

Add '-9' to each side of the equation.
9 + -9 + -3w = -21 + -9 + 7a

Combine like terms: 9 + -9 = 0
0 + -3w = -21 + -9 + 7a
-3w = -21 + -9 + 7a

Combine like terms: -21 + -9 = -30
-3w = -30 + 7a

Divide each side by '-3'.
w = 10 + -2.333333333a

Simplifying
w = 10 + -2.333333333a

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