2(r-9)+5=6+7(-5-2r)

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Solution for 2(r-9)+5=6+7(-5-2r) equation:


Simplifying
2(r + -9) + 5 = 6 + 7(-5 + -2r)

Reorder the terms:
2(-9 + r) + 5 = 6 + 7(-5 + -2r)
(-9 * 2 + r * 2) + 5 = 6 + 7(-5 + -2r)
(-18 + 2r) + 5 = 6 + 7(-5 + -2r)

Reorder the terms:
-18 + 5 + 2r = 6 + 7(-5 + -2r)

Combine like terms: -18 + 5 = -13
-13 + 2r = 6 + 7(-5 + -2r)
-13 + 2r = 6 + (-5 * 7 + -2r * 7)
-13 + 2r = 6 + (-35 + -14r)

Combine like terms: 6 + -35 = -29
-13 + 2r = -29 + -14r

Solving
-13 + 2r = -29 + -14r

Solving for variable 'r'.

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

Add '14r' to each side of the equation.
-13 + 2r + 14r = -29 + -14r + 14r

Combine like terms: 2r + 14r = 16r
-13 + 16r = -29 + -14r + 14r

Combine like terms: -14r + 14r = 0
-13 + 16r = -29 + 0
-13 + 16r = -29

Add '13' to each side of the equation.
-13 + 13 + 16r = -29 + 13

Combine like terms: -13 + 13 = 0
0 + 16r = -29 + 13
16r = -29 + 13

Combine like terms: -29 + 13 = -16
16r = -16

Divide each side by '16'.
r = -1

Simplifying
r = -1

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