6(2r+8)=-10(r-3)

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Solution for 6(2r+8)=-10(r-3) equation:


Simplifying
6(2r + 8) = -10(r + -3)

Reorder the terms:
6(8 + 2r) = -10(r + -3)
(8 * 6 + 2r * 6) = -10(r + -3)
(48 + 12r) = -10(r + -3)

Reorder the terms:
48 + 12r = -10(-3 + r)
48 + 12r = (-3 * -10 + r * -10)
48 + 12r = (30 + -10r)

Solving
48 + 12r = 30 + -10r

Solving for variable 'r'.

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

Add '10r' to each side of the equation.
48 + 12r + 10r = 30 + -10r + 10r

Combine like terms: 12r + 10r = 22r
48 + 22r = 30 + -10r + 10r

Combine like terms: -10r + 10r = 0
48 + 22r = 30 + 0
48 + 22r = 30

Add '-48' to each side of the equation.
48 + -48 + 22r = 30 + -48

Combine like terms: 48 + -48 = 0
0 + 22r = 30 + -48
22r = 30 + -48

Combine like terms: 30 + -48 = -18
22r = -18

Divide each side by '22'.
r = -0.8181818182

Simplifying
r = -0.8181818182

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