-72=-2(8r+7)+5(1-r)

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Solution for -72=-2(8r+7)+5(1-r) equation:


Simplifying
-72 = -2(8r + 7) + 5(1 + -1r)

Reorder the terms:
-72 = -2(7 + 8r) + 5(1 + -1r)
-72 = (7 * -2 + 8r * -2) + 5(1 + -1r)
-72 = (-14 + -16r) + 5(1 + -1r)
-72 = -14 + -16r + (1 * 5 + -1r * 5)
-72 = -14 + -16r + (5 + -5r)

Reorder the terms:
-72 = -14 + 5 + -16r + -5r

Combine like terms: -14 + 5 = -9
-72 = -9 + -16r + -5r

Combine like terms: -16r + -5r = -21r
-72 = -9 + -21r

Solving
-72 = -9 + -21r

Solving for variable 'r'.

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

Add '21r' to each side of the equation.
-72 + 21r = -9 + -21r + 21r

Combine like terms: -21r + 21r = 0
-72 + 21r = -9 + 0
-72 + 21r = -9

Add '72' to each side of the equation.
-72 + 72 + 21r = -9 + 72

Combine like terms: -72 + 72 = 0
0 + 21r = -9 + 72
21r = -9 + 72

Combine like terms: -9 + 72 = 63
21r = 63

Divide each side by '21'.
r = 3

Simplifying
r = 3

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