65=5(a-5)+4(-4a+6)

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Solution for 65=5(a-5)+4(-4a+6) equation:


Simplifying
65 = 5(a + -5) + 4(-4a + 6)

Reorder the terms:
65 = 5(-5 + a) + 4(-4a + 6)
65 = (-5 * 5 + a * 5) + 4(-4a + 6)
65 = (-25 + 5a) + 4(-4a + 6)

Reorder the terms:
65 = -25 + 5a + 4(6 + -4a)
65 = -25 + 5a + (6 * 4 + -4a * 4)
65 = -25 + 5a + (24 + -16a)

Reorder the terms:
65 = -25 + 24 + 5a + -16a

Combine like terms: -25 + 24 = -1
65 = -1 + 5a + -16a

Combine like terms: 5a + -16a = -11a
65 = -1 + -11a

Solving
65 = -1 + -11a

Solving for variable 'a'.

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

Add '11a' to each side of the equation.
65 + 11a = -1 + -11a + 11a

Combine like terms: -11a + 11a = 0
65 + 11a = -1 + 0
65 + 11a = -1

Add '-65' to each side of the equation.
65 + -65 + 11a = -1 + -65

Combine like terms: 65 + -65 = 0
0 + 11a = -1 + -65
11a = -1 + -65

Combine like terms: -1 + -65 = -66
11a = -66

Divide each side by '11'.
a = -6

Simplifying
a = -6

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