6(x+10)+3(2r-7)=-45

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Solution for 6(x+10)+3(2r-7)=-45 equation: 


Simplifying
6(x + 10) + 3(2r + -7) = -45

Reorder the terms:
6(10 + x) + 3(2r + -7) = -45
(10 * 6 + x * 6) + 3(2r + -7) = -45
(60 + 6x) + 3(2r + -7) = -45

Reorder the terms:
60 + 6x + 3(-7 + 2r) = -45
60 + 6x + (-7 * 3 + 2r * 3) = -45
60 + 6x + (-21 + 6r) = -45

Reorder the terms:
60 + -21 + 6r + 6x = -45

Combine like terms: 60 + -21 = 39
39 + 6r + 6x = -45

Solving
39 + 6r + 6x = -45

Solving for variable 'r'.

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

Add '-39' to each side of the equation.
39 + 6r + -39 + 6x = -45 + -39

Reorder the terms:
39 + -39 + 6r + 6x = -45 + -39

Combine like terms: 39 + -39 = 0
0 + 6r + 6x = -45 + -39
6r + 6x = -45 + -39

Combine like terms: -45 + -39 = -84
6r + 6x = -84

Add '-6x' to each side of the equation.
6r + 6x + -6x = -84 + -6x

Combine like terms: 6x + -6x = 0
6r + 0 = -84 + -6x
6r = -84 + -6x

Divide each side by '6'.
r = -14 + -1x

Simplifying
r = -14 + -1x

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