-5(r-9)+2(r+3)=-2(r-4)+48

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Solution for -5(r-9)+2(r+3)=-2(r-4)+48 equation:


Simplifying
-5(r + -9) + 2(r + 3) = -2(r + -4) + 48

Reorder the terms:
-5(-9 + r) + 2(r + 3) = -2(r + -4) + 48
(-9 * -5 + r * -5) + 2(r + 3) = -2(r + -4) + 48
(45 + -5r) + 2(r + 3) = -2(r + -4) + 48

Reorder the terms:
45 + -5r + 2(3 + r) = -2(r + -4) + 48
45 + -5r + (3 * 2 + r * 2) = -2(r + -4) + 48
45 + -5r + (6 + 2r) = -2(r + -4) + 48

Reorder the terms:
45 + 6 + -5r + 2r = -2(r + -4) + 48

Combine like terms: 45 + 6 = 51
51 + -5r + 2r = -2(r + -4) + 48

Combine like terms: -5r + 2r = -3r
51 + -3r = -2(r + -4) + 48

Reorder the terms:
51 + -3r = -2(-4 + r) + 48
51 + -3r = (-4 * -2 + r * -2) + 48
51 + -3r = (8 + -2r) + 48

Reorder the terms:
51 + -3r = 8 + 48 + -2r

Combine like terms: 8 + 48 = 56
51 + -3r = 56 + -2r

Solving
51 + -3r = 56 + -2r

Solving for variable 'r'.

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

Add '2r' to each side of the equation.
51 + -3r + 2r = 56 + -2r + 2r

Combine like terms: -3r + 2r = -1r
51 + -1r = 56 + -2r + 2r

Combine like terms: -2r + 2r = 0
51 + -1r = 56 + 0
51 + -1r = 56

Add '-51' to each side of the equation.
51 + -51 + -1r = 56 + -51

Combine like terms: 51 + -51 = 0
0 + -1r = 56 + -51
-1r = 56 + -51

Combine like terms: 56 + -51 = 5
-1r = 5

Divide each side by '-1'.
r = -5

Simplifying
r = -5

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