2(4w-3)-7(2w-7)=1

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Solution for 2(4w-3)-7(2w-7)=1 equation:


Simplifying
2(4w + -3) + -7(2w + -7) = 1

Reorder the terms:
2(-3 + 4w) + -7(2w + -7) = 1
(-3 * 2 + 4w * 2) + -7(2w + -7) = 1
(-6 + 8w) + -7(2w + -7) = 1

Reorder the terms:
-6 + 8w + -7(-7 + 2w) = 1
-6 + 8w + (-7 * -7 + 2w * -7) = 1
-6 + 8w + (49 + -14w) = 1

Reorder the terms:
-6 + 49 + 8w + -14w = 1

Combine like terms: -6 + 49 = 43
43 + 8w + -14w = 1

Combine like terms: 8w + -14w = -6w
43 + -6w = 1

Solving
43 + -6w = 1

Solving for variable 'w'.

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

Add '-43' to each side of the equation.
43 + -43 + -6w = 1 + -43

Combine like terms: 43 + -43 = 0
0 + -6w = 1 + -43
-6w = 1 + -43

Combine like terms: 1 + -43 = -42
-6w = -42

Divide each side by '-6'.
w = 7

Simplifying
w = 7

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