4(r+7)-3(1-r)2=-(4+r)-3(3-r)2-3

Solution for 4(r+7)-3(1-r)2=-(4+r)-3(3-r)2-3 equation:

Simplifying
4(r + 7) + -3(1 + -1r) * 2 = -1(4 + r) + -3(3 + -1r) * 2 + -3

Reorder the terms:
4(7 + r) + -3(1 + -1r) * 2 = -1(4 + r) + -3(3 + -1r) * 2 + -3
(7 * 4 + r * 4) + -3(1 + -1r) * 2 = -1(4 + r) + -3(3 + -1r) * 2 + -3
(28 + 4r) + -3(1 + -1r) * 2 = -1(4 + r) + -3(3 + -1r) * 2 + -3

Reorder the terms for easier multiplication:
28 + 4r + -3 * 2(1 + -1r) = -1(4 + r) + -3(3 + -1r) * 2 + -3

Multiply -3 * 2
28 + 4r + -6(1 + -1r) = -1(4 + r) + -3(3 + -1r) * 2 + -3
28 + 4r + (1 * -6 + -1r * -6) = -1(4 + r) + -3(3 + -1r) * 2 + -3
28 + 4r + (-6 + 6r) = -1(4 + r) + -3(3 + -1r) * 2 + -3

Reorder the terms:
28 + -6 + 4r + 6r = -1(4 + r) + -3(3 + -1r) * 2 + -3

Combine like terms: 28 + -6 = 22
22 + 4r + 6r = -1(4 + r) + -3(3 + -1r) * 2 + -3

Combine like terms: 4r + 6r = 10r
22 + 10r = -1(4 + r) + -3(3 + -1r) * 2 + -3
22 + 10r = (4 * -1 + r * -1) + -3(3 + -1r) * 2 + -3
22 + 10r = (-4 + -1r) + -3(3 + -1r) * 2 + -3

Reorder the terms for easier multiplication:
22 + 10r = -4 + -1r + -3 * 2(3 + -1r) + -3

Multiply -3 * 2
22 + 10r = -4 + -1r + -6(3 + -1r) + -3
22 + 10r = -4 + -1r + (3 * -6 + -1r * -6) + -3
22 + 10r = -4 + -1r + (-18 + 6r) + -3

Reorder the terms:
22 + 10r = -4 + -18 + -3 + -1r + 6r

Combine like terms: -4 + -18 = -22
22 + 10r = -22 + -3 + -1r + 6r

Combine like terms: -22 + -3 = -25
22 + 10r = -25 + -1r + 6r

Combine like terms: -1r + 6r = 5r
22 + 10r = -25 + 5r

Solving
22 + 10r = -25 + 5r

Solving for variable 'r'.

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

Add '-5r' to each side of the equation.
22 + 10r + -5r = -25 + 5r + -5r

Combine like terms: 10r + -5r = 5r
22 + 5r = -25 + 5r + -5r

Combine like terms: 5r + -5r = 0
22 + 5r = -25 + 0
22 + 5r = -25

Add '-22' to each side of the equation.
22 + -22 + 5r = -25 + -22

Combine like terms: 22 + -22 = 0
0 + 5r = -25 + -22
5r = -25 + -22

Combine like terms: -25 + -22 = -47
5r = -47

Divide each side by '5'.
r = -9.4

Simplifying
r = -9.4