1-4(14r+28)=2(r+2)

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Solution for 1-4(14r+28)=2(r+2) equation:


Simplifying
1 + -4(14r + 28) = 2(r + 2)

Reorder the terms:
1 + -4(28 + 14r) = 2(r + 2)
1 + (28 * -4 + 14r * -4) = 2(r + 2)
1 + (-112 + -56r) = 2(r + 2)

Combine like terms: 1 + -112 = -111
-111 + -56r = 2(r + 2)

Reorder the terms:
-111 + -56r = 2(2 + r)
-111 + -56r = (2 * 2 + r * 2)
-111 + -56r = (4 + 2r)

Solving
-111 + -56r = 4 + 2r

Solving for variable 'r'.

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

Add '-2r' to each side of the equation.
-111 + -56r + -2r = 4 + 2r + -2r

Combine like terms: -56r + -2r = -58r
-111 + -58r = 4 + 2r + -2r

Combine like terms: 2r + -2r = 0
-111 + -58r = 4 + 0
-111 + -58r = 4

Add '111' to each side of the equation.
-111 + 111 + -58r = 4 + 111

Combine like terms: -111 + 111 = 0
0 + -58r = 4 + 111
-58r = 4 + 111

Combine like terms: 4 + 111 = 115
-58r = 115

Divide each side by '-58'.
r = -1.982758621

Simplifying
r = -1.982758621

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