7[2-(3+4r)]-2r=-9+2(1-15r)

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Solution for 7[2-(3+4r)]-2r=-9+2(1-15r) equation: 


Simplifying
7[2 + -1(3 + 4r)] + -2r = -9 + 2(1 + -15r)
7[2 + (3 * -1 + 4r * -1)] + -2r = -9 + 2(1 + -15r)
7[2 + (-3 + -4r)] + -2r = -9 + 2(1 + -15r)

Combine like terms: 2 + -3 = -1
7[-1 + -4r] + -2r = -9 + 2(1 + -15r)
[-1 * 7 + -4r * 7] + -2r = -9 + 2(1 + -15r)
[-7 + -28r] + -2r = -9 + 2(1 + -15r)

Combine like terms: -28r + -2r = -30r
-7 + -30r = -9 + 2(1 + -15r)
-7 + -30r = -9 + (1 * 2 + -15r * 2)
-7 + -30r = -9 + (2 + -30r)

Combine like terms: -9 + 2 = -7
-7 + -30r = -7 + -30r

Add '7' to each side of the equation.
-7 + 7 + -30r = -7 + 7 + -30r

Combine like terms: -7 + 7 = 0
0 + -30r = -7 + 7 + -30r
-30r = -7 + 7 + -30r

Combine like terms: -7 + 7 = 0
-30r = 0 + -30r
-30r = -30r

Add '30r' to each side of the equation.
-30r + 30r = -30r + 30r

Combine like terms: -30r + 30r = 0
0 = -30r + 30r

Combine like terms: -30r + 30r = 0
0 = 0

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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