11=(3w+3)4+(5w-6)8

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Solution for 11=(3w+3)4+(5w-6)8 equation:


Simplifying
11 = (3w + 3) * 4 + (5w + -6) * 8

Reorder the terms:
11 = (3 + 3w) * 4 + (5w + -6) * 8

Reorder the terms for easier multiplication:
11 = 4(3 + 3w) + (5w + -6) * 8
11 = (3 * 4 + 3w * 4) + (5w + -6) * 8
11 = (12 + 12w) + (5w + -6) * 8

Reorder the terms:
11 = 12 + 12w + (-6 + 5w) * 8

Reorder the terms for easier multiplication:
11 = 12 + 12w + 8(-6 + 5w)
11 = 12 + 12w + (-6 * 8 + 5w * 8)
11 = 12 + 12w + (-48 + 40w)

Reorder the terms:
11 = 12 + -48 + 12w + 40w

Combine like terms: 12 + -48 = -36
11 = -36 + 12w + 40w

Combine like terms: 12w + 40w = 52w
11 = -36 + 52w

Solving
11 = -36 + 52w

Solving for variable 'w'.

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

Add '-52w' to each side of the equation.
11 + -52w = -36 + 52w + -52w

Combine like terms: 52w + -52w = 0
11 + -52w = -36 + 0
11 + -52w = -36

Add '-11' to each side of the equation.
11 + -11 + -52w = -36 + -11

Combine like terms: 11 + -11 = 0
0 + -52w = -36 + -11
-52w = -36 + -11

Combine like terms: -36 + -11 = -47
-52w = -47

Divide each side by '-52'.
w = 0.9038461538

Simplifying
w = 0.9038461538

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