-2(9r+3)-7r=-10r-(12r+9)

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Solution for -2(9r+3)-7r=-10r-(12r+9) equation:


Simplifying
-2(9r + 3) + -7r = -10r + -1(12r + 9)

Reorder the terms:
-2(3 + 9r) + -7r = -10r + -1(12r + 9)
(3 * -2 + 9r * -2) + -7r = -10r + -1(12r + 9)
(-6 + -18r) + -7r = -10r + -1(12r + 9)

Combine like terms: -18r + -7r = -25r
-6 + -25r = -10r + -1(12r + 9)

Reorder the terms:
-6 + -25r = -10r + -1(9 + 12r)
-6 + -25r = -10r + (9 * -1 + 12r * -1)
-6 + -25r = -10r + (-9 + -12r)

Reorder the terms:
-6 + -25r = -9 + -10r + -12r

Combine like terms: -10r + -12r = -22r
-6 + -25r = -9 + -22r

Solving
-6 + -25r = -9 + -22r

Solving for variable 'r'.

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

Add '22r' to each side of the equation.
-6 + -25r + 22r = -9 + -22r + 22r

Combine like terms: -25r + 22r = -3r
-6 + -3r = -9 + -22r + 22r

Combine like terms: -22r + 22r = 0
-6 + -3r = -9 + 0
-6 + -3r = -9

Add '6' to each side of the equation.
-6 + 6 + -3r = -9 + 6

Combine like terms: -6 + 6 = 0
0 + -3r = -9 + 6
-3r = -9 + 6

Combine like terms: -9 + 6 = -3
-3r = -3

Divide each side by '-3'.
r = 1

Simplifying
r = 1

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