45=3(89+7)+3(a+8)

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Solution for 45=3(89+7)+3(a+8) equation: 


Simplifying
45 = 3(89 + 7) + 3(a + 8)

Combine like terms: 89 + 7 = 96
45 = 3(96) + 3(a + 8)

Multiply 3 * 96
45 = 288 + 3(a + 8)

Reorder the terms:
45 = 288 + 3(8 + a)
45 = 288 + (8 * 3 + a * 3)
45 = 288 + (24 + 3a)

Combine like terms: 288 + 24 = 312
45 = 312 + 3a

Solving
45 = 312 + 3a

Solving for variable 'a'.

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

Add '-3a' to each side of the equation.
45 + -3a = 312 + 3a + -3a

Combine like terms: 3a + -3a = 0
45 + -3a = 312 + 0
45 + -3a = 312

Add '-45' to each side of the equation.
45 + -45 + -3a = 312 + -45

Combine like terms: 45 + -45 = 0
0 + -3a = 312 + -45
-3a = 312 + -45

Combine like terms: 312 + -45 = 267
-3a = 267

Divide each side by '-3'.
a = -89

Simplifying
a = -89

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