2[3(2+w)-(-w)]=5(w+3)-2(1-w)

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Solution for 2[3(2+w)-(-w)]=5(w+3)-2(1-w) equation:


Simplifying
2[3(2 + w) + -1(-1w)] = 5(w + 3) + -2(1 + -1w)
2[(2 * 3 + w * 3) + -1(-1w)] = 5(w + 3) + -2(1 + -1w)
2[(6 + 3w) + -1(-1w)] = 5(w + 3) + -2(1 + -1w)

Remove parenthesis around (-1w)
2[6 + 3w + -1 * -1w] = 5(w + 3) + -2(1 + -1w)

Multiply -1 * -1
2[6 + 3w + 1w] = 5(w + 3) + -2(1 + -1w)

Combine like terms: 3w + 1w = 4w
2[6 + 4w] = 5(w + 3) + -2(1 + -1w)
[6 * 2 + 4w * 2] = 5(w + 3) + -2(1 + -1w)
[12 + 8w] = 5(w + 3) + -2(1 + -1w)

Reorder the terms:
12 + 8w = 5(3 + w) + -2(1 + -1w)
12 + 8w = (3 * 5 + w * 5) + -2(1 + -1w)
12 + 8w = (15 + 5w) + -2(1 + -1w)
12 + 8w = 15 + 5w + (1 * -2 + -1w * -2)
12 + 8w = 15 + 5w + (-2 + 2w)

Reorder the terms:
12 + 8w = 15 + -2 + 5w + 2w

Combine like terms: 15 + -2 = 13
12 + 8w = 13 + 5w + 2w

Combine like terms: 5w + 2w = 7w
12 + 8w = 13 + 7w

Solving
12 + 8w = 13 + 7w

Solving for variable 'w'.

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

Add '-7w' to each side of the equation.
12 + 8w + -7w = 13 + 7w + -7w

Combine like terms: 8w + -7w = 1w
12 + 1w = 13 + 7w + -7w

Combine like terms: 7w + -7w = 0
12 + 1w = 13 + 0
12 + 1w = 13

Add '-12' to each side of the equation.
12 + -12 + 1w = 13 + -12

Combine like terms: 12 + -12 = 0
0 + 1w = 13 + -12
1w = 13 + -12

Combine like terms: 13 + -12 = 1
1w = 1

Divide each side by '1'.
w = 1

Simplifying
w = 1

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