448=-7(7r-8)

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Solution for 448=-7(7r-8) equation:


Simplifying
448 = -7(7r + -8)

Reorder the terms:
448 = -7(-8 + 7r)
448 = (-8 * -7 + 7r * -7)
448 = (56 + -49r)

Solving
448 = 56 + -49r

Solving for variable 'r'.

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

Add '49r' to each side of the equation.
448 + 49r = 56 + -49r + 49r

Combine like terms: -49r + 49r = 0
448 + 49r = 56 + 0
448 + 49r = 56

Add '-448' to each side of the equation.
448 + -448 + 49r = 56 + -448

Combine like terms: 448 + -448 = 0
0 + 49r = 56 + -448
49r = 56 + -448

Combine like terms: 56 + -448 = -392
49r = -392

Divide each side by '49'.
r = -8

Simplifying
r = -8

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