4(3+3r)+2(4+8r)=-7-4r-3r-8

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Solution for 4(3+3r)+2(4+8r)=-7-4r-3r-8 equation: 


Simplifying
4(3 + 3r) + 2(4 + 8r) = -7 + -4r + -3r + -8
(3 * 4 + 3r * 4) + 2(4 + 8r) = -7 + -4r + -3r + -8
(12 + 12r) + 2(4 + 8r) = -7 + -4r + -3r + -8
12 + 12r + (4 * 2 + 8r * 2) = -7 + -4r + -3r + -8
12 + 12r + (8 + 16r) = -7 + -4r + -3r + -8

Reorder the terms:
12 + 8 + 12r + 16r = -7 + -4r + -3r + -8

Combine like terms: 12 + 8 = 20
20 + 12r + 16r = -7 + -4r + -3r + -8

Combine like terms: 12r + 16r = 28r
20 + 28r = -7 + -4r + -3r + -8

Reorder the terms:
20 + 28r = -7 + -8 + -4r + -3r

Combine like terms: -7 + -8 = -15
20 + 28r = -15 + -4r + -3r

Combine like terms: -4r + -3r = -7r
20 + 28r = -15 + -7r

Solving
20 + 28r = -15 + -7r

Solving for variable 'r'.

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

Add '7r' to each side of the equation.
20 + 28r + 7r = -15 + -7r + 7r

Combine like terms: 28r + 7r = 35r
20 + 35r = -15 + -7r + 7r

Combine like terms: -7r + 7r = 0
20 + 35r = -15 + 0
20 + 35r = -15

Add '-20' to each side of the equation.
20 + -20 + 35r = -15 + -20

Combine like terms: 20 + -20 = 0
0 + 35r = -15 + -20
35r = -15 + -20

Combine like terms: -15 + -20 = -35
35r = -35

Divide each side by '35'.
r = -1

Simplifying
r = -1

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