10(a+7)-6(4a+3)=

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Solution for 10(a+7)-6(4a+3)= equation:


Simplifying
10(a + 7) + -6(4a + 3) = 0

Reorder the terms:
10(7 + a) + -6(4a + 3) = 0
(7 * 10 + a * 10) + -6(4a + 3) = 0
(70 + 10a) + -6(4a + 3) = 0

Reorder the terms:
70 + 10a + -6(3 + 4a) = 0
70 + 10a + (3 * -6 + 4a * -6) = 0
70 + 10a + (-18 + -24a) = 0

Reorder the terms:
70 + -18 + 10a + -24a = 0

Combine like terms: 70 + -18 = 52
52 + 10a + -24a = 0

Combine like terms: 10a + -24a = -14a
52 + -14a = 0

Solving
52 + -14a = 0

Solving for variable 'a'.

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

Add '-52' to each side of the equation.
52 + -52 + -14a = 0 + -52

Combine like terms: 52 + -52 = 0
0 + -14a = 0 + -52
-14a = 0 + -52

Combine like terms: 0 + -52 = -52
-14a = -52

Divide each side by '-14'.
a = 3.714285714

Simplifying
a = 3.714285714

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