6w-42=-9(w+3)

Solution for 6w-42=-9(w+3) equation:

Simplifying
6w + -42 = -9(w + 3)

Reorder the terms:
-42 + 6w = -9(w + 3)

Reorder the terms:
-42 + 6w = -9(3 + w)
-42 + 6w = (3 * -9 + w * -9)
-42 + 6w = (-27 + -9w)

Solving
-42 + 6w = -27 + -9w

Solving for variable 'w'.

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

Add '9w' to each side of the equation.
-42 + 6w + 9w = -27 + -9w + 9w

Combine like terms: 6w + 9w = 15w
-42 + 15w = -27 + -9w + 9w

Combine like terms: -9w + 9w = 0
-42 + 15w = -27 + 0
-42 + 15w = -27

Add '42' to each side of the equation.
-42 + 42 + 15w = -27 + 42

Combine like terms: -42 + 42 = 0
0 + 15w = -27 + 42
15w = -27 + 42

Combine like terms: -27 + 42 = 15
15w = 15

Divide each side by '15'.
w = 1

Simplifying
w = 1