4(a-11)-7(2a+1)=-2.28

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Solution for 4(a-11)-7(2a+1)=-2.28 equation: 


Simplifying
4(a + -11) + -7(2a + 1) = -2.28

Reorder the terms:
4(-11 + a) + -7(2a + 1) = -2.28
(-11 * 4 + a * 4) + -7(2a + 1) = -2.28
(-44 + 4a) + -7(2a + 1) = -2.28

Reorder the terms:
-44 + 4a + -7(1 + 2a) = -2.28
-44 + 4a + (1 * -7 + 2a * -7) = -2.28
-44 + 4a + (-7 + -14a) = -2.28

Reorder the terms:
-44 + -7 + 4a + -14a = -2.28

Combine like terms: -44 + -7 = -51
-51 + 4a + -14a = -2.28

Combine like terms: 4a + -14a = -10a
-51 + -10a = -2.28

Solving
-51 + -10a = -2.28

Solving for variable 'a'.

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

Add '51' to each side of the equation.
-51 + 51 + -10a = -2.28 + 51

Combine like terms: -51 + 51 = 0
0 + -10a = -2.28 + 51
-10a = -2.28 + 51

Combine like terms: -2.28 + 51 = 48.72
-10a = 48.72

Divide each side by '-10'.
a = -4.872

Simplifying
a = -4.872

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