48=-2a+6(a+7)

Solution for 48=-2a+6(a+7) equation:

Simplifying
48 = -2a + 6(a + 7)

Reorder the terms:
48 = -2a + 6(7 + a)
48 = -2a + (7 * 6 + a * 6)
48 = -2a + (42 + 6a)

Reorder the terms:
48 = 42 + -2a + 6a

Combine like terms: -2a + 6a = 4a
48 = 42 + 4a

Solving
48 = 42 + 4a

Solving for variable 'a'.

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

Add '-4a' to each side of the equation.
48 + -4a = 42 + 4a + -4a

Combine like terms: 4a + -4a = 0
48 + -4a = 42 + 0
48 + -4a = 42

Add '-48' to each side of the equation.
48 + -48 + -4a = 42 + -48

Combine like terms: 48 + -48 = 0
0 + -4a = 42 + -48
-4a = 42 + -48

Combine like terms: 42 + -48 = -6
-4a = -6

Divide each side by '-4'.
a = 1.5

Simplifying
a = 1.5