-102=4(7r+4)

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Solution for -102=4(7r+4) equation:


Simplifying
-102 = 4(7r + 4)

Reorder the terms:
-102 = 4(4 + 7r)
-102 = (4 * 4 + 7r * 4)
-102 = (16 + 28r)

Solving
-102 = 16 + 28r

Solving for variable 'r'.

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

Add '-28r' to each side of the equation.
-102 + -28r = 16 + 28r + -28r

Combine like terms: 28r + -28r = 0
-102 + -28r = 16 + 0
-102 + -28r = 16

Add '102' to each side of the equation.
-102 + 102 + -28r = 16 + 102

Combine like terms: -102 + 102 = 0
0 + -28r = 16 + 102
-28r = 16 + 102

Combine like terms: 16 + 102 = 118
-28r = 118

Divide each side by '-28'.
r = -4.214285714

Simplifying
r = -4.214285714

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