9(a-17)+2(a+49)=a-10

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Solution for 9(a-17)+2(a+49)=a-10 equation:


Simplifying
9(a + -17) + 2(a + 49) = a + -10

Reorder the terms:
9(-17 + a) + 2(a + 49) = a + -10
(-17 * 9 + a * 9) + 2(a + 49) = a + -10
(-153 + 9a) + 2(a + 49) = a + -10

Reorder the terms:
-153 + 9a + 2(49 + a) = a + -10
-153 + 9a + (49 * 2 + a * 2) = a + -10
-153 + 9a + (98 + 2a) = a + -10

Reorder the terms:
-153 + 98 + 9a + 2a = a + -10

Combine like terms: -153 + 98 = -55
-55 + 9a + 2a = a + -10

Combine like terms: 9a + 2a = 11a
-55 + 11a = a + -10

Reorder the terms:
-55 + 11a = -10 + a

Solving
-55 + 11a = -10 + a

Solving for variable 'a'.

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

Add '-1a' to each side of the equation.
-55 + 11a + -1a = -10 + a + -1a

Combine like terms: 11a + -1a = 10a
-55 + 10a = -10 + a + -1a

Combine like terms: a + -1a = 0
-55 + 10a = -10 + 0
-55 + 10a = -10

Add '55' to each side of the equation.
-55 + 55 + 10a = -10 + 55

Combine like terms: -55 + 55 = 0
0 + 10a = -10 + 55
10a = -10 + 55

Combine like terms: -10 + 55 = 45
10a = 45

Divide each side by '10'.
a = 4.5

Simplifying
a = 4.5

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