3(a+5)+4(p-2)=4(p+6)

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Solution for 3(a+5)+4(p-2)=4(p+6) equation:


Simplifying
3(a + 5) + 4(p + -2) = 4(p + 6)

Reorder the terms:
3(5 + a) + 4(p + -2) = 4(p + 6)
(5 * 3 + a * 3) + 4(p + -2) = 4(p + 6)
(15 + 3a) + 4(p + -2) = 4(p + 6)

Reorder the terms:
15 + 3a + 4(-2 + p) = 4(p + 6)
15 + 3a + (-2 * 4 + p * 4) = 4(p + 6)
15 + 3a + (-8 + 4p) = 4(p + 6)

Reorder the terms:
15 + -8 + 3a + 4p = 4(p + 6)

Combine like terms: 15 + -8 = 7
7 + 3a + 4p = 4(p + 6)

Reorder the terms:
7 + 3a + 4p = 4(6 + p)
7 + 3a + 4p = (6 * 4 + p * 4)
7 + 3a + 4p = (24 + 4p)

Add '-4p' to each side of the equation.
7 + 3a + 4p + -4p = 24 + 4p + -4p

Combine like terms: 4p + -4p = 0
7 + 3a + 0 = 24 + 4p + -4p
7 + 3a = 24 + 4p + -4p

Combine like terms: 4p + -4p = 0
7 + 3a = 24 + 0
7 + 3a = 24

Solving
7 + 3a = 24

Solving for variable 'a'.

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

Add '-7' to each side of the equation.
7 + -7 + 3a = 24 + -7

Combine like terms: 7 + -7 = 0
0 + 3a = 24 + -7
3a = 24 + -7

Combine like terms: 24 + -7 = 17
3a = 17

Divide each side by '3'.
a = 5.666666667

Simplifying
a = 5.666666667

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