13-3(2w+1)=10w-3(10+3)

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Solution for 13-3(2w+1)=10w-3(10+3) equation: 


Simplifying
13 + -3(2w + 1) = 10w + -3(10 + 3)

Reorder the terms:
13 + -3(1 + 2w) = 10w + -3(10 + 3)
13 + (1 * -3 + 2w * -3) = 10w + -3(10 + 3)
13 + (-3 + -6w) = 10w + -3(10 + 3)

Combine like terms: 13 + -3 = 10
10 + -6w = 10w + -3(10 + 3)

Combine like terms: 10 + 3 = 13
10 + -6w = 10w + -3(13)

Multiply -3 * 13
10 + -6w = 10w + -39

Reorder the terms:
10 + -6w = -39 + 10w

Solving
10 + -6w = -39 + 10w

Solving for variable 'w'.

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

Add '-10w' to each side of the equation.
10 + -6w + -10w = -39 + 10w + -10w

Combine like terms: -6w + -10w = -16w
10 + -16w = -39 + 10w + -10w

Combine like terms: 10w + -10w = 0
10 + -16w = -39 + 0
10 + -16w = -39

Add '-10' to each side of the equation.
10 + -10 + -16w = -39 + -10

Combine like terms: 10 + -10 = 0
0 + -16w = -39 + -10
-16w = -39 + -10

Combine like terms: -39 + -10 = -49
-16w = -49

Divide each side by '-16'.
w = 3.0625

Simplifying
w = 3.0625

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