8(4q-5)-7a=20q-10

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Solution for 8(4q-5)-7a=20q-10 equation:


Simplifying
8(4q + -5) + -7a = 20q + -10

Reorder the terms:
8(-5 + 4q) + -7a = 20q + -10
(-5 * 8 + 4q * 8) + -7a = 20q + -10
(-40 + 32q) + -7a = 20q + -10

Reorder the terms:
-40 + -7a + 32q = 20q + -10

Reorder the terms:
-40 + -7a + 32q = -10 + 20q

Solving
-40 + -7a + 32q = -10 + 20q

Solving for variable 'a'.

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

Add '40' to each side of the equation.
-40 + -7a + 40 + 32q = -10 + 40 + 20q

Reorder the terms:
-40 + 40 + -7a + 32q = -10 + 40 + 20q

Combine like terms: -40 + 40 = 0
0 + -7a + 32q = -10 + 40 + 20q
-7a + 32q = -10 + 40 + 20q

Combine like terms: -10 + 40 = 30
-7a + 32q = 30 + 20q

Add '-32q' to each side of the equation.
-7a + 32q + -32q = 30 + 20q + -32q

Combine like terms: 32q + -32q = 0
-7a + 0 = 30 + 20q + -32q
-7a = 30 + 20q + -32q

Combine like terms: 20q + -32q = -12q
-7a = 30 + -12q

Divide each side by '-7'.
a = -4.285714286 + 1.714285714q

Simplifying
a = -4.285714286 + 1.714285714q

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