3(r+1)=-4(r-4)

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Solution for 3(r+1)=-4(r-4) equation:


Simplifying
3(r + 1) = -4(r + -4)

Reorder the terms:
3(1 + r) = -4(r + -4)
(1 * 3 + r * 3) = -4(r + -4)
(3 + 3r) = -4(r + -4)

Reorder the terms:
3 + 3r = -4(-4 + r)
3 + 3r = (-4 * -4 + r * -4)
3 + 3r = (16 + -4r)

Solving
3 + 3r = 16 + -4r

Solving for variable 'r'.

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

Add '4r' to each side of the equation.
3 + 3r + 4r = 16 + -4r + 4r

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

Combine like terms: -4r + 4r = 0
3 + 7r = 16 + 0
3 + 7r = 16

Add '-3' to each side of the equation.
3 + -3 + 7r = 16 + -3

Combine like terms: 3 + -3 = 0
0 + 7r = 16 + -3
7r = 16 + -3

Combine like terms: 16 + -3 = 13
7r = 13

Divide each side by '7'.
r = 1.857142857

Simplifying
r = 1.857142857

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