5(c+3)-8(1-3c)+4[5-(3+c)]=45

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Solution for 5(c+3)-8(1-3c)+4[5-(3+c)]=45 equation: 


Simplifying
5(c + 3) + -8(1 + -3c) + 4[5 + -1(3 + c)] = 45

Reorder the terms:
5(3 + c) + -8(1 + -3c) + 4[5 + -1(3 + c)] = 45
(3 * 5 + c * 5) + -8(1 + -3c) + 4[5 + -1(3 + c)] = 45
(15 + 5c) + -8(1 + -3c) + 4[5 + -1(3 + c)] = 45
15 + 5c + (1 * -8 + -3c * -8) + 4[5 + -1(3 + c)] = 45
15 + 5c + (-8 + 24c) + 4[5 + -1(3 + c)] = 45
15 + 5c + -8 + 24c + 4[5 + (3 * -1 + c * -1)] = 45
15 + 5c + -8 + 24c + 4[5 + (-3 + -1c)] = 45

Combine like terms: 5 + -3 = 2
15 + 5c + -8 + 24c + 4[2 + -1c] = 45
15 + 5c + -8 + 24c + [2 * 4 + -1c * 4] = 45
15 + 5c + -8 + 24c + [8 + -4c] = 45

Reorder the terms:
15 + -8 + 8 + 5c + 24c + -4c = 45

Combine like terms: 15 + -8 = 7
7 + 8 + 5c + 24c + -4c = 45

Combine like terms: 7 + 8 = 15
15 + 5c + 24c + -4c = 45

Combine like terms: 5c + 24c = 29c
15 + 29c + -4c = 45

Combine like terms: 29c + -4c = 25c
15 + 25c = 45

Solving
15 + 25c = 45

Solving for variable 'c'.

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

Add '-15' to each side of the equation.
15 + -15 + 25c = 45 + -15

Combine like terms: 15 + -15 = 0
0 + 25c = 45 + -15
25c = 45 + -15

Combine like terms: 45 + -15 = 30
25c = 30

Divide each side by '25'.
c = 1.2

Simplifying
c = 1.2

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