8(7a-7)+2(a-6)=48

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Solution for 8(7a-7)+2(a-6)=48 equation:


Simplifying
8(7a + -7) + 2(a + -6) = 48

Reorder the terms:
8(-7 + 7a) + 2(a + -6) = 48
(-7 * 8 + 7a * 8) + 2(a + -6) = 48
(-56 + 56a) + 2(a + -6) = 48

Reorder the terms:
-56 + 56a + 2(-6 + a) = 48
-56 + 56a + (-6 * 2 + a * 2) = 48
-56 + 56a + (-12 + 2a) = 48

Reorder the terms:
-56 + -12 + 56a + 2a = 48

Combine like terms: -56 + -12 = -68
-68 + 56a + 2a = 48

Combine like terms: 56a + 2a = 58a
-68 + 58a = 48

Solving
-68 + 58a = 48

Solving for variable 'a'.

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

Add '68' to each side of the equation.
-68 + 68 + 58a = 48 + 68

Combine like terms: -68 + 68 = 0
0 + 58a = 48 + 68
58a = 48 + 68

Combine like terms: 48 + 68 = 116
58a = 116

Divide each side by '58'.
a = 2

Simplifying
a = 2

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