24r+24(r+3)=408

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Solution for 24r+24(r+3)=408 equation:


Simplifying
24r + 24(r + 3) = 408

Reorder the terms:
24r + 24(3 + r) = 408
24r + (3 * 24 + r * 24) = 408
24r + (72 + 24r) = 408

Reorder the terms:
72 + 24r + 24r = 408

Combine like terms: 24r + 24r = 48r
72 + 48r = 408

Solving
72 + 48r = 408

Solving for variable 'r'.

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

Add '-72' to each side of the equation.
72 + -72 + 48r = 408 + -72

Combine like terms: 72 + -72 = 0
0 + 48r = 408 + -72
48r = 408 + -72

Combine like terms: 408 + -72 = 336
48r = 336

Divide each side by '48'.
r = 7

Simplifying
r = 7

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