2-11w(3)=5(w+2)(5)

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Solution for 2-11w(3)=5(w+2)(5) equation:


Simplifying
2 + -11w(3) = 5(w + 2)(5)

Reorder the terms for easier multiplication:
2 + -11 * 3w = 5(w + 2)(5)

Multiply -11 * 3
2 + -33w = 5(w + 2)(5)

Reorder the terms:
2 + -33w = 5(2 + w)(5)

Reorder the terms for easier multiplication:
2 + -33w = 5 * 5(2 + w)

Multiply 5 * 5
2 + -33w = 25(2 + w)
2 + -33w = (2 * 25 + w * 25)
2 + -33w = (50 + 25w)

Solving
2 + -33w = 50 + 25w

Solving for variable 'w'.

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

Add '-25w' to each side of the equation.
2 + -33w + -25w = 50 + 25w + -25w

Combine like terms: -33w + -25w = -58w
2 + -58w = 50 + 25w + -25w

Combine like terms: 25w + -25w = 0
2 + -58w = 50 + 0
2 + -58w = 50

Add '-2' to each side of the equation.
2 + -2 + -58w = 50 + -2

Combine like terms: 2 + -2 = 0
0 + -58w = 50 + -2
-58w = 50 + -2

Combine like terms: 50 + -2 = 48
-58w = 48

Divide each side by '-58'.
w = -0.8275862069

Simplifying
w = -0.8275862069

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