8(7+4a)-3(5+2b)=990

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Solution for 8(7+4a)-3(5+2b)=990 equation:


Simplifying
8(7 + 4a) + -3(5 + 2b) = 990
(7 * 8 + 4a * 8) + -3(5 + 2b) = 990
(56 + 32a) + -3(5 + 2b) = 990
56 + 32a + (5 * -3 + 2b * -3) = 990
56 + 32a + (-15 + -6b) = 990

Reorder the terms:
56 + -15 + 32a + -6b = 990

Combine like terms: 56 + -15 = 41
41 + 32a + -6b = 990

Solving
41 + 32a + -6b = 990

Solving for variable 'a'.

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

Add '-41' to each side of the equation.
41 + 32a + -41 + -6b = 990 + -41

Reorder the terms:
41 + -41 + 32a + -6b = 990 + -41

Combine like terms: 41 + -41 = 0
0 + 32a + -6b = 990 + -41
32a + -6b = 990 + -41

Combine like terms: 990 + -41 = 949
32a + -6b = 949

Add '6b' to each side of the equation.
32a + -6b + 6b = 949 + 6b

Combine like terms: -6b + 6b = 0
32a + 0 = 949 + 6b
32a = 949 + 6b

Divide each side by '32'.
a = 29.65625 + 0.1875b

Simplifying
a = 29.65625 + 0.1875b

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